Results 11 to 20 of about 4,579 (296)
The Gauss map in spaces of constant curvature [PDF]
Proceedings of the American Mathematical Society, 1973 Let N N be a complete simply connected Riemannian manifold of constant sectional curvature
Joel L. Weiner
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Impulse Gauss Curvatures [PDF]
, 2004 In Riemannian (differential) geometry, the differences between Euclidean geometry, elliptic geometry, and hyperbolic geometry are understood in terms of curvature. I think Gauss and Riemann captured the essence of geometry in their studies of surfaces and manifolds, and their point of view is spectacularly illuminating.
Iseri, Howard
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The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
Anais da Academia Brasileira de Ciências, 2013 In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R.
PEDRO A. HINOJOSA, GILVANEIDE N. SILVA
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Flow by powers of the Gauss curvature [PDF]
Advances in Mathematics, 2016 The authors prove that convex hypersurfaces in \(\mathbb{R}^{n+1}\) contracting under the flow by any power \(\alpha>\frac{1}{n+2}\) of the Gauss curvature converge after rescaling to fixed volume to a limit which is a smooth uniformly self-similar contracting solution of the flow.
Ben Andrews, Pengfei Guan, Lei Ni
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Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua
Journal of High Energy Physics, 2022 We investigate the combined effect of fluxes and higher-order curvature corrections, in the form of the Gauss-Bonnet term, on the existence of de Sitter vacua in a heterotic string inspired framework, compactified on spheres and tori.
Francesc Cunillera +3 more
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Surfaces Moving by Powers of Gauss Curvature [PDF]
Pure and Applied Mathematics Quarterly, 2012 We prove that strictly convex surfaces moving by $K^{α/2}$ become spherical as they contract to points, provided $α$ lies in the range $[1,2]$. In the process we provide a natural candidate for a curvature pinching quantity for surfaces moving by arbitrary functions of curvature, by finding a quantity conserved by the reaction terms in the evolution of
Andrews, Ben, Chen, Xuzhong
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Approximation of Gaussian Curvature by the Angular Defect: An Error Analysis
Mathematical and Computational Applications, 2021 It is common practice in science and engineering to approximate smooth surfaces and their geometric properties by using triangle meshes with vertices on the surface.
Marie-Sophie Hartig
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Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity
European Physical Journal C: Particles and Fields, 2020 In Gauss–Bonnet gravity, we analytically investigate the p-wave superfluid models in five dimensional AdS soliton and AdS black hole in order to explore the influences of the higher curvature correction on the holographic superfluid phase transition.
Chuyu Lai +3 more
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Analytical study of holographic superconductor with backreaction in 4d Gauss-Bonnet gravity
Physics Letters B, 2021 In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the Gauss-Bonnet ...
Debabrata Ghorai, Sunandan Gangopadhyay
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Submanifolds with curvature normals of constant length and the Gauss map [PDF]
, 2004 We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala +3 more
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