Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

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.

to appear in Comm. Anal. Geom