arXiv:1502.05227 Abstract | arXiv Analytics

arXiv:1502.05227 [math.DG]Abstract References Reviews Resources

Positive mass theorem for some asymptotically hyperbolic manifolds

Published 2015-02-18Version 1

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.

Categories: math.DG

Subjects: 53C21, 53C27

Keywords: positive mass theorem, asymptotically hyperbolic manifolds, noncompact spin manifolds, hyperbolic space, yamabe invariants

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