English

Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

Differential Geometry 2017-01-10 v2 Analysis of PDEs

Abstract

In this paper, we consider the inverse hessian quotient curvature flow with star-shaped initial hypersurface in anti-de Sitter-Schwarzschild manifold. We prove that the solution exists for all time, and the second fundamental form converges to identity exponentially fast.

Keywords

Cite

@article{arxiv.1609.09733,
  title  = {Inverse curvature flow in anti-de Sitter-Schwarzschild manifold},
  author = {Siyuan Lu},
  journal= {arXiv preprint arXiv:1609.09733},
  year   = {2017}
}

Comments

to appear in Comm. Anal. Geom