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arXiv · 1401.6009

Universal positive mass theorems

Marc Herzlich
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Abstract

In this paper, we develop a general study of contributions at infinity of Bochner-Weitzenböck-type formulas on asymptotically flat manifolds, inspired by Witten's proof of the positive mass theorem. As an application, we show that similar proofs can be obtained in a much more general setting as any choice of an irreducible natural bundle and a very large choice of first-order operators may lead to a positive mass theorem along the same lines if the necessary curvature conditions are satisfied.

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Marc Herzlich. 2016-08-19. Universal positive mass theorems. https://arxiv.org/abs/1401.6009

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