Weakly horospherically convex hypersurfaces in hyperbolic space

DOI10.1007/s10455-017-9554-4zbMath1385.53043arXiv1611.06421OpenAlexW2555413366MaRDI QIDQ2407995

Vincent Bonini, Jie Qing, Jingyong Zhu

Publication date: 9 October 2017

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06421

zbMATH Keywords

hyperbolic spaceBernstein theoremsupport functionweakly horospherically convex hypersurface

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

On nonnegatively curved hypersurfaces in \(\mathbb{H}^{n+1}\) ⋮ On the Gauss map of equivariant immersions in hyperbolic space

Cites Work

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• The asymptotic boundary of a surface imbedded in \(H^ 3\) with nonnegative curvature
• On Alexandrov-Bernstein theorems in hyperbolic space
• Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
• On nonnegatively curved hypersurfaces in \(\mathbb{H}^{n+1}\)
• Hypersurfaces in hyperbolic space with support function
• Correspondences of hypersurfaces in hyperbolic Poincaré manifolds and conformally invariant PDEs
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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