Open Access
February, 2001 The Mass of Asymptotically Hyperbolic Manifolds
Xiaodong Wang
J. Differential Geom. 57(2): 273-299 (February, 2001). DOI: 10.4310/jdg/1090348112

Abstract

Motivated by certain problems in general relativity and Riemannian geometry, we study manifolds which are asymptotic to the hyperbolic space in a certain sense. It is shown that an invariant, the so called total mass, can be defined unambiguously. A positive mass theorem is established by using the spinor method.

Citation

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Xiaodong Wang. "The Mass of Asymptotically Hyperbolic Manifolds." J. Differential Geom. 57 (2) 273 - 299, February, 2001. https://doi.org/10.4310/jdg/1090348112

Information

Published: February, 2001
First available in Project Euclid: 20 July 2004

zbMATH: 1037.53017
MathSciNet: MR1879228
Digital Object Identifier: 10.4310/jdg/1090348112

Rights: Copyright © 2001 Lehigh University

Vol.57 • No. 2 • February, 2001
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