Hypersurfaces of constant curvature in Hyperbolic space

zbMath1268.53065arXiv1010.4008MaRDI QIDQ4647917

Joel Spruck, Bo Guan

Publication date: 8 November 2012

Full work available at URL: https://arxiv.org/abs/1010.4008

zbMATH Keywords

hyperbolic convex hullcomplete strict convex hypersurfacenatural class of curvature functions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (9)

Curvature flow of complete convex hypersurfaces in hyperbolic space ⋮ The Plateau problem for convex curvature functions ⋮ On the asymptotic Plateau problem in hyperbolic space ⋮ Shifted inverse curvature flows in hyperbolic space ⋮ Curvature flow of complete hypersurfaces in hyperbolic space ⋮ Convex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic space ⋮ Optimal regularity of constant curvature graphs in hyperbolic space ⋮ Smooth solutions to asymptotic plateau type problem in hyperbolic space ⋮ Hypersurfaces in hyperbolic space with support function

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