Prescribed k-symmetric curvature hypersurfaces in de Sitter space

2019/07/31 by Daniel Ballesteros-Chávez, Ballesteros-Chávez, Daniel, Wilhelm Klingenberg +3 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:35J60 #msc:53C42 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1907.13542

arxiv created 2019/07/31 · arxiv updated 2019/08/01

Abstract

We prove existence of compact spacelike hypersurfaces with prescribed k - curvature in de Sitter space, where the prescription function depends on both space and the tilt function.

Citations

• The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
• Interior curvature bounds for a class of curvature equations

Cited by

• Parabolic approaches to curvature equations

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