Positive mass theorem for some asymptotically hyperbolic manifolds

Ammann, Bernd and Grosse, Nadine (2017) Positive mass theorem for some asymptotically hyperbolic manifolds. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 87 (1). pp. 165-180. ISSN 0025-5858, 1865-8784

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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 a conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.

Item Type: Article
Uncontrolled Keywords: SCALAR CURVATURE; YAMABE PROBLEM; DIFFERENTIAL-EQUATIONS; PROOF; Positive mass; Hyperbolic spaces; Spin
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Bernd Ammann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:11
Last Modified: 18 Feb 2019 14:04
URI: https://pred.uni-regensburg.de/id/eprint/1148

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