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1Fine Hall, Princeton University, Princeton, NJ 08544, USA. e-mail: aneves@math.princeton.edu
2Fine Hall, Princeton University, Princeton, NJ 08544, USA. e-mail: tian@math.princeton.edu
Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2010, Issue 641, Pages 69–93, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2010.028, January 2010
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 Müller.
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