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arXiv · 1502.05227

Positive mass theorem for some asymptotically hyperbolic manifolds

Bernd Ammann·Nadine Große
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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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Bernd Ammann, Nadine Große. 2015-02-18. Positive mass theorem for some asymptotically hyperbolic manifolds. https://arxiv.org/abs/1502.05227

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