Starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space

2005/05/08 by Qinian Jin, Yanyan Li, YanYan Li +2
Mathematics · #35J60 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AP #math.DG #msc:35J60 #msc:58J05

paper · pdf · doi:10.48550/arxiv.math/0505134

arxiv created 2005/05/08 · openalex publication_date 2005/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the existence of starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space.

Citations

• The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
• Pinching estimates and motion of hypersurfaces by curvature functions

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• Starshaped compact hypersurfaces in warped product manifolds II: a class of Hessian type equations