%0 Journal Article
%T The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
%A Dan A. Lee
%A Andr¨¦ Neves
%J Mathematics
%D 2013
%I arXiv
%X In the asymptotically locally hyperbolic setting it is possible to have metrics with scalar curvature at least -6 and negative mass when the genus of the conformal boundary at infinity is positive. Using inverse mean curvature flow, we prove a Penrose inequality for these negative mass metrics. The motivation comes from a previous result of P. Chru\'sciel and W. Simon, which states that the Penrose inequality we prove implies a static uniqueness theorem for negative mass Kottler metrics.
%U http://arxiv.org/abs/1310.3002v1