Closed Weingarten hypersurfaces in semi-riemannian manifolds

2002/07/04 by Claus Gerhardt, Gerhardt, Claus
Mathematics · #Geometric Analysis and Curvature Flows #Mathematics and Applications #Point processes and geometric inequalities #math.DG #msc:35J60 #msc:53C21 #msc:53C44 #msc:53C50 #msc:58J05

paper · pdf · doi:10.48550/arxiv.math/0207053

25 pages, amslatex, A pdf version can be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/preprints and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcg01b.html v2 Table of Contents added, smaller pointsize chosen

Abstract

The existence of closed hypersurfaces of prescribed curvature in semi-riemannian manifolds is proved provided there are barriers.

Related

• Hypersurfaces of prescribed curvature in Lorentzian manifolds
• Hypersurfaces of prescribed scalar curvature in Lorentzian manifolds
• Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds
• Hypersurfaces of prescribed mean curvature in Lorentzian manifolds
• The boundary value Minkowski problem for Weingarten curvatures