Hypersurfaces of prescribed mean curvature in Lorentzian manifolds

2004/09/24 by Claus Gerhardt
Mathematics · #math.DG

paper · pdf

published as Math. Z. 235, 83 - 97 (2000) · 15 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/H-surfacesLorentz.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcg00.html

arxiv created 2004/09/24 · arxiv updated 2009/12/01

Abstract

We give a new existence proof for closed hypersurfaces of prescribed mean curvature in Lorentzian manifolds.

Related

• Hypersurfaces of prescribed curvature in Lorentzian manifolds
• Hypersurfaces of prescribed scalar curvature in Lorentzian manifolds
• Prescribed mean curvature flow for noncompact hypersurfaces in Lorentz manifolds
• Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds
• The scalar curvature flow in Lorentzian manifolds