Results 31 to 40 of about 4,579 (296)
Translators of the Gauss curvature flow
, 2022 A $K^α$-translator is a surface in Euclidean space $\r^3$ that moves by translations in a spatial direction and under the $K^α$-flow, where $K$ is the Gauss curvature and $α$ is a constant. We classify all $K^α$-translators that are rotationally symmetric.
Aydin, Muhittin Evren, López, Rafael
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Prescribing the Gauss curvature of convex bodies in hyperbolic space
, 2023 International audienceThe Gauss curvature measure of a pointed Euclidean convex body is a measure on the unit sphere which extends the notion of Gauss curvature to non-smooth bodies.
Philippe Castillon +3 more
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A New Approach to Rotational Weingarten Surfaces
Mathematics, 2022 Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface.
Paula Carretero, Ildefonso Castro
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Swimming in Curved Surfaces and Gauss Curvature
Universitas Scientiarum, 2018 The Cartesian-Newtonian paradigm of mechanics establishes that, within an inertial frame, a body either remains at rest or moves uniformly on a line, unless a force acts externally upon it.
Leonardo Solanilla +2 more
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Gauss Maps of the Mean Curvature Flow [PDF]
Mathematical Research Letters, 2003 final version, to appear in Mathematical Research ...
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Hypersurfaces with planar lines of curvature in Euclidean Space
Selecciones Matemáticas, 2017 In this work, we present explicit parameterizations of hypersurfaces parameterized by lines of curvature with prescribed Gauss map and we characterize the hypersurfaces with planar curvature lines.
Carlos M. C. Riveros +1 more
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Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
Journal of High Energy Physics, 2020 We investigate the neutral AdS black-hole solution in the consistent D → 4 Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett.
Xiongying Qiao +4 more
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α-Gauss Curvature flows with flat sides
Journal of Differential Equations, 2013 In this paper, we study the deformation of the 2 dimensional convex surfaces in $\R^{3}$ whose speed at a point on the surface is proportional to $α$-power of positive part of Gauss Curvature.
Kim, Lami, Lee, Ki-ahm, Rhee, Eunjai
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Holographic vector superconductor in Gauss–Bonnet gravity
Nuclear Physics B, 2016 In the probe limit, we numerically study the holographic p-wave superconductor phase transitions in the higher curvature theory. Concretely, we study the influences of Gauss–Bonnet parameter α on the Maxwell complex vector model (MCV) in the five ...
Jun-Wang Lu +5 more
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Surfaces with prescribed Gauss curvature
Duke Mathematical Journal, 2000 This paper is concerned with prescribing Gaussian curvature for surfaces over \(\mathbb{R}^2\), i.e. with discussing existence and uniqueness for the following semilinear elliptic PDE: \[ K(x)=-e ^{-2u(x)}\Delta u(x) \] in the unknown function \(u\). The authors adopt a new approach to this long standing problem, which permit them to consider a wide ...
Chanillo, Sagun, Kiessling, Michael
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