Positive mass theorem for some asymptotically hyperbolic manifolds

Published 18 Feb 2015 in math.DG | (1502.05227v1)

Abstract: We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.

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