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267

Mar 20, 2008
03/08

by
Rafael López del Río

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Book digitized by Google and uploaded to the Internet Archive by user tpb.

Source: http://books.google.com/books?id=VF2JcRGmfAgC&oe=UTF-8

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3.0

Jun 30, 2018
06/18

by
Rafael López; Juncheol Pyo

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In this article we study the shape of a compact surface of constant mean curvature of Euclidean space whose boundary is contained in a round sphere. We consider the case that the boundary is prescribed or that the surface meets the sphere with a constant angle. We study under what geometric conditions the surface must be spherical. Our results apply in many scenarios in physics where in absence of gravity a liquid drop is deposited on a round solid ball and the air-liquid interface is a...

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.5767

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4.0

Jun 29, 2018
06/18

by
Rafael López; Matthias Weber

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We develop a new method to construct explicit, regular minimal surfaces in Euclidean space that are defined on the entire complex plane with controlled geometry. More precisely we show that for a large class of planar curves $(x(t), y(t))$ one can find a third coordinate $z(t)$ and normal fields $n(t)$ along the space curve $c(t)=(x(t), y(t), z(t))$ so that the Bj\"orling formula applied to $c(t)$ and $n(t)$ can be explicitly evaluated. We give many examples.

Topics: Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1608.05335

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5.0

Jun 29, 2018
06/18

by
Anwar AlMuhammad; Rafael Lopez-Mobilia

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We use the $f^{2}FF$ model to study the generation of primordial magnetic fields (PMF) in the context of large field inflation (LFI), described by the potential, $V \sim M \phi^{p}$. We compute the magnetic and electric spectra for all possible values of the model parameters under de Sitter and power law expansion. We show that scale invariant PMF are not obtained in LFI to first order in the slow roll approximation, if we impose the constraint $V(\phi=0)\sim 0$. Alternatively, if these...

Topics: Astrophysics, Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1601.02104

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6.0

Jun 30, 2018
06/18

by
Rafael López; Juncheol Pyo

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In this paper we investigate constant mean curvature surfaces with nonempty boundary in Euclidean space that meet a right cylinder at a constant angle along the boundary. If the surface lies inside of the cylinder, we obtain some results of symmetry by using the Alexandrov reflection method. When the mean curvature is zero, we give sufficient conditions to obtain that the surface is part of a plane or a catenoid.

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.5757

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2.0

Jun 29, 2018
06/18

by
Rafael López; Seher Kaya

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We use the Bj\"orling problem in Lorentz-Minkowski space to obtain explicit parametrizations of maximal surfaces containing a circle and a helix. We investigate the Weierstrass representation of these surfaces.

Topics: Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1608.05944

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9.0

Jun 30, 2018
06/18

by
Rafael López

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The paper approaches to the reader to topology with a curious example of topological classification by homeomorphisms applied to the letters of the alphabet viewed as subsets of Euclidean plane.

Topics: Mathematics, History and Overview

Source: http://arxiv.org/abs/1410.3364

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65

Sep 22, 2013
09/13

by
Rafael Lopez

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In this paper we solve the Plateau problem for spacelike surfaces with constant mean curvature in Lorentz-Minkowski three-space $\l^3$ and spanning two circular (axially symmetric) contours in parallel planes. We prove that rotational symmetric surfaces are the only compact spacelike surfaces in $\l^3$ of constant mean curvature bounded by two concentric circles in parallel planes. As conclusion, we characterize spacelike surfaces of revolution with constant mean curvature as the only that...

Source: http://arxiv.org/abs/math/0501188v1

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49

Sep 22, 2013
09/13

by
Rafael López

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In this paper we review some author's results about Weingarten surfaces in Euclidean space $\r^3$ and hyperbolic space $\h^3$. We stress here in the search of examples of linear Weingarten surfaces that satisfy a certain geometric property. First, we consider Weingarten surfaces in $\r^3$ that are foliated by circles, proving that the surface is rotational, a Riemann example or a generalized cone. Next we classify rotational surfaces in $\r^3$ of hyperbolic type showing that there exist...

Source: http://arxiv.org/abs/0906.3302v1

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60

Sep 18, 2013
09/13

by
Rafael López

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We consider a column of a rotating stationary surface in Euclidean space. We obtain a value $l_0>0$ in such way that if the length $l$ of column satisfies $l>l_0$, then the surface is instable. This extends, in some sense, previous results due to Plateau and Rayleigh for columns of surfaces with constant mean curvature.

Source: http://arxiv.org/abs/0809.3811v1

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3.0

Jun 30, 2018
06/18

by
Rafael López

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We study surfaces in Euclidean space ${\mathbb R}^3$ that are minimal for a log-linear density $\phi(x,y,z)=\alpha x+\beta y+\gamma y$, where $\alpha,\beta,\gamma$ are real numbers not all zero. We prove that if a surface is $\phi$-minimal foliated by circles in parallel planes, then these planes are orthogonal to the vector $(\alpha,\beta,\gamma)$ and the surface must be rotational. We also classify all minimal surfaces of translation type.

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.2517

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6.0

Jun 17, 2020
06/20

by
RAFAEL LOPEZ

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PODCAST DERRETIMIENTO DE LOS POLOS

Topic: POLOS GLACIARES

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36

Sep 19, 2013
09/13

by
Ozgur Boyacioglu Kalkan; Rafael López; Derya Saglam

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In this work, we study spacelike surfaces in Minkowski space $E_1^3$ foliated by pieces of circles and that satisfy a linear Weingarten condition of type $a H+b K=c$, where $a,b$ and $c$ are constant and $H$ and $K$ denote the mean curvature and the Gauss curvature respectively. We show that such surfaces must be surfaces of revolution or surfaces with constant mean curvature H=0 or surfaces with constant Gauss curvature K=0.

Source: http://arxiv.org/abs/0909.2552v1

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40

Jun 30, 2018
06/18

by
Rafael López; Juncheol Pyo

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We show that a capillary surface in a solid cone, that is, a surface that has constant mean curvature and the boundary of surface meets the boundary of the cone with a constant angle, is radially graphical if the mean curvature is non-positive with respect to the Gauss map pointing toward the domain bounded by the surface and the boundary of the cone. In the particular case that the cone is circular, we prove that the surface is a spherical cap or a planar disc. The proofs are based on an...

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.5749

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5.0

Jun 30, 2018
06/18

by
Rafael López; Marilena Moruz

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We study surfaces in Euclidean space constructed by the sum of two curves or that are graphs of the product of two functions. We consider the problem to determine all these surfaces with constant Gauss curvature. We extend the results to non degenerate surfaces in Lorentz-Minkowski space.

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.2512

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4.0

Jun 30, 2018
06/18

by
Antonio Bueno; Rafael López

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We give a relatively simple proof that a translation surface in Euclidean space that satisfies a relation of type $aH+bK=c$, for some real numbers $a,b,c$, where $H$ and $K$ are the mean curvature and the Gauss curvature of the surface, respectively, must have $a=0$ or $b=0$, and thus, $K$ is constant or $H$ is constant. Our method of proof extends to the Lorentzian ambient space.

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.2510

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11

Jun 27, 2018
06/18

by
Anwar S AlMuhammad; Rafael Lopez-Mobilia

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We study the simple gauge invariant model ${f^2}FF$ as a way to generate primordial magnetic fields (PMF) in Natural Inflation (NI). We compute both magnetic and electric spectra generated by the ${f^2}FF$ model in NI for different values of model parameters and find that both de Sitter and power law expansion lead to the same results at sufficiently large number of e-foldings. We also find that the necessary scale invariance property of the PMF cannot be obtained in NI in first order of slow...

Topics: Cosmology and Nongalactic Astrophysics, Astrophysics, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1505.04668

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41

Sep 21, 2013
09/13

by
Rafael Lopez; Marian Ioan Munteanu

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A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector field makes a constant hyperbolic angle with a fixed timelike vector. In this work we study and classify these surfaces. In particular, we show that they are flat. Next we prove that a tangent developable surface (resp. cylinder, cone) is a constant angle surface if and only if the generating curve is a helix (resp. a straight-line, a circle).

Source: http://arxiv.org/abs/0905.0670v1

5
5.0

Jun 30, 2018
06/18

by
Rafael López-Soriano; David Ruiz

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In this paper we study the problem of prescribing the Gaussian curvature under a conformal change of the metric. We are concerned with the problem posed on a subdomain of the 2-sphere under Neumann boundary conditions of the conformal factor. If the area of the subdomain is greater than 2\pi, the associated energy functional is no longer bounded from below. We treat this case by using min-max techniques, giving a new existence result that generalizes and unifies previous work on the argument.

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1402.2124

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45

Sep 19, 2013
09/13

by
Rafael López

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A surface in homogenous space Sol is said to be an invariant surface if it is invariant under some of the two 1-parameter groups of isometries of the ambient space whose fix point sets are totally geodesic surfaces. In this work we study invariant surfaces that satisfy a certain condition on their curvatures. We classify invariant surfaces with constant mean curvature and constant Gaussian curvature. Also, we characterize invariant surfaces that satisfy a linear Weingarten relation.

Source: http://arxiv.org/abs/0909.2550v1

3
3.0

Jun 30, 2018
06/18

by
Rafael López; Ana Nistor

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In this paper we study surfaces foliated by a uniparametric family of circles in the homogeneous space Sol$_3$. We prove that there do not exist such surfaces with zero mean curvature or with zero Gaussian curvature. We extend this study considering surfaces foliated by geodesics, equidistant lines or horocycles in totally geodesic planes and we classify all such surfaces under the assumption of minimality or flatness.

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1410.2513

3
3.0

Jun 29, 2018
06/18

by
Shintaro Akamine; Rafael López

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In 3-dimensional Lorentz-Minkowski space we determine the number of catenoids connecting two coaxial circles in parallel planes. This study is separated according to the types of circles and the causal character (spacelike and timelike) of the catenoid.

Topics: Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1607.08428

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42

Sep 22, 2013
09/13

by
Rafael Lopez; Marian Ioan Munteanu

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In this paper we classify all surfaces in the 3-dimensional Lie group $Sol_3$ whose normals make constant angle with a left invariant vector field.

Source: http://arxiv.org/abs/1004.3889v1

4
4.0

Jun 30, 2018
06/18

by
Rafael López; Seher Kaya

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We investigate the duality between minimal surfaces in Euclidean space and maximal surfaces in Lorentz-Minkowski space in the family of rotational surfaces. We study if the dual surfaces of two congruent rotational minimal (or maximal) surfaces are congruent. We show that in the duality process by means of a one-parameter group of rotations, it appears the family of Bonnet minimal (maximal) surfaces and the Goursat transformations.

Topics: Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1703.04018

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44

Sep 18, 2013
09/13

by
Rafael López

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We show that some pieces of cylinders bounded by two parallel straight-lines bifurcate in a family of periodic non-rotational surfaces with constant mean curvature and with the same boundary conditions. These cylinders are initial interfaces in a problem of microscale range modeling the morphologies that adopt a liquid deposited in a chemically structured substrate with striped geometry or a liquid contained in a right wedge with Dirichlet and capillary boundary condition on the edges of the...

Source: http://arxiv.org/abs/1102.2724v2

4
4.0

Jun 29, 2018
06/18

by
David Brander; Rafael Lopez

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We discuss some consequences of the existence of the holomorphic quadratic Hopf differential on a conformally immersed constant mean curvature topological disc with analytic boundary. In particular, we derive a formula for the mean curvature as a weighted average of the normal curvature of the boundary curve, and a condition for the surface to be totally umbilic in terms of the normal curvature.

Topics: Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1603.01826

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37

Sep 19, 2013
09/13

by
Rafael López

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In homogenous space Sol we study compact surfaces with constant mean curvature and with non-empty boundary. We ask how the geometry of the boundary curve imposes restrictions over all possible configurations that the surface can adopt. We obtain a flux formula and we establish results that assert that, under some restrictions, the symmetry of the boundary is inherited into the surface.

Source: http://arxiv.org/abs/0909.2549v2

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52

Sep 23, 2013
09/13

by
Ahmad T. Ali; Rafael López

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We consider a unit speed timelike curve $\alpha$ in Minkowski 4-space $E_1^4$ and denote the Frenet frame of $\alpha$ by $\{T,N,B_1,B_2\}$. We say that $\alpha$ is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction $U$ of $E_1^4$. In this work we study those helices where the function $$ is constant and we give different characterizations of such curves.

Source: http://arxiv.org/abs/0810.1460v1

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59

Sep 20, 2013
09/13

by
Rafael López

texts

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In this paper we study surfaces in Euclidean 3-space foliated by pieces of circles and that satisfy a Weingarten condition of type $a H+b K=c$, where $a,b$ and $c$ are constant and $H$ and $K$ denote the mean curvature and the Gauss curvature respectively. We prove that a such surface must be a surface of revolution, a Riemann minimal surface or a generalized cone.

Source: http://arxiv.org/abs/math/0607749v1

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32

Sep 19, 2013
09/13

by
Rafael López; Marian Ioan Munteanu

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In the homogeneous space Sol$_3$, a translation surface is parameterized by $x(s,t)=\alpha(s)\ast\beta(t)$, where $\alpha$ and $\beta$ are curves contained in coordinate planes and $\ast$ denotes the group operation of Sol$_3$. In this paper we study translation surfaces in Sol$_3$ whose mean curvature vanishes.

Source: http://arxiv.org/abs/1010.1085v1

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53

Sep 18, 2013
09/13

by
Rafael López

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We study parabolic linear Weingarten surfaces in hyperbolic space $\rlopezh^3$. In particular, we classify two family of parabolic surfaces: surfaces with constant Gaussian curvature and surfaces that satisfy the relation $a\kappa_1+b\kappa_2=c$, where $\kappa_i$ are the principal curvatures, and $a,b$ and $c$ are constant.

Source: http://arxiv.org/abs/0704.2755v1

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43

Sep 19, 2013
09/13

by
Rafael Lopez

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A linear Weingarten surface in Euclidean space ${\bf R}^3$ is a surface whose mean curvature $H$ and Gaussian curvature $K$ satisfy a relation of the form $aH+bK=c$, where $a,b,c\in {\bf R}$. Such a surface is said to be hyperbolic when $a^2+4bc

Source: http://arxiv.org/abs/math/0610543v1

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129

Sep 23, 2013
09/13

by
Rafael López; Esma Demir

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In this work we find all helicoidal surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is $0$ or $1$ and that the surface is ruled. If the generating curve is a Lorentzian circle, we show that the only possibility is that the axis is spacelike and the center of the circle lies in the axis.

Source: http://arxiv.org/abs/1006.2345v2

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39

Sep 20, 2013
09/13

by
Rafael López

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In this paper we study surfaces in Euclidean 3-space that satisfy a Weingarten condition of linear type as $\kappa_1=m \kappa_2 +n$, where $m$ and $n$ are real numbers and $\kappa_1$ and $\kappa_2$ denote the principal curvatures at each point of the surface. We investigate the possible existence of such surfaces parametrized by a uniparametric family of circles. Besides the surfaces of revolution, we prove that not exist more except the case $(m,n)=(-1,0)$, that is, if the surface is one of...

Source: http://arxiv.org/abs/math/0607748v1

1
1.0

Mar 15, 2021
03/21

by
Rafael Lopez (coxmo)

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support for flat tv, since the camera does not hold well, place a piece of double-sided adhesive on the part that goes to the tv

Topics: camera_mount, thingiverse, Camera, govee, stl, GOVEE_LED, support

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59

Sep 18, 2013
09/13

by
Rafael López

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A surface in hyperbolic space $\h^3$ invariant by a group of parabolic isometries is called a parabolic surface. In this paper we investigate parabolic surfaces of $\h^3$ that satisfy a linear Weingarten relation of the form $a\kappa_1+b\kappa_2=c$ or $aH+bK=c$, where $a,b,c\in \r$ and, as usual, $\kappa_i$ are the principal curvatures, $H$ is the mean curvature and $K$ is de Gaussian curvature. We classify all parabolic linear Weingarten surfaces in hyperbolic space.

Source: http://arxiv.org/abs/0809.3821v1

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231

Sep 23, 2013
09/13

by
Rafael López

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This Mini-Course gives an introduction to classical differential geometry of curves and surfaces in Lorentz-Minkowski space $\e_1^3$. In the case of surfaces, we will study spacelike surfaces, specially with the assumption that its mean curvature is constant. Throughout the lectures, we will compare the results and techniques with those ones in Euclidean ambient space.

favoritefavoritefavoritefavoritefavorite ( 1 reviews )

Source: http://arxiv.org/abs/0810.3351v1

3
3.0

Jan 21, 2021
01/21

by
Rafael Lopez (coxmo)

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Support for Trust 720p webcam model no. 17895 remove the two screws of the back shell, and the screw that holds the ball and you can put this piece. I hope it helps you

Topics: Gopro, Camera, thingiverse, Trust, Cam, stl

56
56

Sep 23, 2013
09/13

by
Ahmad T. Ali; Rafael López

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We consider a curve $\alpha=\alpha(s)$ in Minkowski 3-space $E_1^3$ and denote by $\{T,N,B}$ the Frenet frame of $\alpha$. We say that $\alpha$ is a slant helix if there exists a fixed direction $U$ of $E_1^3$ such that the function $$ is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of $\alpha$.

Source: http://arxiv.org/abs/0810.1464v1

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46

Sep 23, 2013
09/13

by
Rafael López

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In Sol$_3$ space there are three uniparametric groups of isometries. In this work we study constant mean curvature surfaces invariant by one of these groups. We analyze the geometric properties of these surfaces by means of their computer graphics. We construct explicit examples of minimal surfaces and we shall relate them with recent examples of spheres with constant mean curvature.

Source: http://arxiv.org/abs/1112.2480v1

112
112

Sep 24, 2013
09/13

by
Rafael López; Juncheol Pyo

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We investigate a variational problem in the Lorentz-Minkowski space $\l^3$ whose critical points are spacelike surfaces with constant mean curvature and making constant contact angle with a given support surface along its common boundary. We show that if the support surface is a pseudosphere, then the surface is a planar disc or a hyperbolic cap. We also study the problem of spacelike hypersurfaces with free boundary in the higher dimensional Lorentz-Minkowski space $\l^{n+1}$.

Source: http://arxiv.org/abs/1112.3936v1

106
106

Sep 17, 2013
09/13

by
Özgür Boyacı oğlu Kalkan; Rafael López

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In this work, we consider spacelike surfaces in Minkowski space $\hbox{\bf E}%_{1}^{3}$ that satisfy a linear Weingarten condition of type $\kappa_{1}=m\kappa_{2}+n$, where $m$ and $n$ are constant and $\kappa_{1}$ and $\kappa_{2}$ denote the principal curvatures at each point of the surface. We study the family of surfaces foliated by a uniparametric family of circles in parallel planes. We prove that the surface must be rotational or the surface is part of the family of Riemann examples of...

Source: http://arxiv.org/abs/1003.4550v1

1
1.0

Mar 10, 2021
03/21

by
rafael lopez (bugeo_3D)

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Customized version of https://www.thingiverse.com/thing:3577763 Created with Customizer! https://www.thingiverse.com/apps/customizer/run?thing_id=3577763

Topics: customized, stl, thingiverse, Mobile Phone

3
3.0

Mar 9, 2021
03/21

by
rafael lopez (bugeo_3D)

data

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Customized version of http://www.thingiverse.com/thing:802145 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=802145

Topics: customized, stl, thingiverse, Mechanical Toys

6
6.0

Jan 16, 2021
01/21

by
rafael lopez (bugeo_3D)

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Alarma para sismo OPEN SURCE v1.0 sumate a la comunidad de facebook para juntos poder mejorar esta iniciativa Grupo facebook: https://www.facebook.com/groups/537081399956700 Facebook personal: https://www.facebook.com/rafa.lopez.barajas Video youtube: https://youtu.be/V7DLSKjugTI Archivos disponibles - Diagrama y pcb diseñados en eagle -Carcasa diseñada en solidworks -Archivos .stl para imprimirse en 3D Mejoras para el futuro -Luz de alarma como complemento a personas con debilidad auditiva...

Topics: sismo, alarma, alarm, thingiverse, Household, earthquake, stl

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41

Sep 22, 2013
09/13

by
Rafael Lopez

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This paper analyzes the configurations of shapes that shows a spacelike liquid drop in Minkowski space deposited over a spacelike plane $\Pi$. We assume the presence of a uniform gravity field directed toward $\Pi$ and that the volume of the drop is prescribed. Our interest are the liquid drops that are critical points of the energy of the corresponding mechanical system and we will say then that the liquid drop is stationary. In such case, the liquid-air interface is determined by the...

Source: http://arxiv.org/abs/math-ph/0501038v2

thèse de médecine de Paris n° 117 Available at the Bibliothèque interuniversitaire de santé (Paris). See this resource in Medica digital library : TPAR1880x117 .

Topic: Migraine

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177

Jun 21, 2009
06/09

by
Rafael López Landron

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Source: http://books.google.com/books?id=F4kVAAAAYAAJ&oe=UTF-8

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62

Sep 19, 2013
09/13

by
Rafael López

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In this paper we consider a free boundary problem in the 3-dimensional Lorentz-Minkowski space $\l^3$ which deals spacelike surfaces whose mean curvature is a linear function of the time coordinate and the boundary moves in a given support plane. We study spacelike surfaces that project one-to-one into a strip of the support and that locally are critical points of a certain energy functional involving the area of the surface, a timelike potential and preserves the volume enclosed by the...

Source: http://arxiv.org/abs/math/0610061v1

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70

Sep 22, 2013
09/13

by
Ahmad T. Ali; Rafael Lopez; Melih Turgut

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We introduce the notion of $k$-type slant helix in Minkowski space $\e_1^4$. For partially null and pseudo null curves in $\e_1^4$, we express some characterizations in terms of their curvature and torsion functions.

Source: http://arxiv.org/abs/1001.0458v1