Insufficient convergence of inverse mean curvature flow on asymptotically hyperbolic manifolds
نویسندگان
چکیده
منابع مشابه
Insufficient Convergence of Inverse Mean Curvature Flow on Asymptotically Hyperbolic Manifolds
We construct a solution to inverse mean curvature flow on an asymptotically hyperbolic 3-manifold which does not have the convergence properties needed in order to prove a Penrose–type inequality. This contrasts sharply with the asymptotically flat case. The main idea consists in combining inverse mean curvature flow with work done by Shi–Tam regarding boundary behavior of compact manifolds. As...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2010
ISSN: 0022-040X
DOI: 10.4310/jdg/1271271798