In a previous paper, the authors showed that metrics which are asymptotic to Anti-de Sitter-Schwarzschild metrics with positive mass admit a unique foliation by stable spheres with constant mean curvature. In this paper we extend that result to all asymptotically hyperbolic metrics for which the trace of the mass term is positive. We do this by combining the Kazdan-Warner obstructions with a theorem due to De Lellis and Mller.
|Original language||English (US)|
|Number of pages||25|
|Journal||Journal fur die Reine und Angewandte Mathematik|
|State||Published - Apr 2010|
All Science Journal Classification (ASJC) codes
- Applied Mathematics