Communications in Analysis and Geometry
Volume 27 (2019)
Inverse curvature flow in anti-de Sitter-Schwarzschild manifold
Pages: 465 – 489
In this paper, we consider 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.
The author’s research was supported in part by the Schulich Graduate Fellowship.
Received 28 December 2016
Accepted 8 January 2017
Published 23 August 2019