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Article Dans Une Revue Communications in Mathematical Physics Année : 2017

Universal positive mass theorems

Résumé

In this paper, we develop a general study of contributions at infinity of Bochner-Weitzenb\"ock-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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Dates et versions

hal-00935576 , version 1 (23-01-2014)
hal-00935576 , version 2 (18-08-2016)

Identifiants

Citer

Marc Herzlich. Universal positive mass theorems. Communications in Mathematical Physics, 2017, 351 (3), pp.973-992. ⟨10.1007/s00220-016-2777-6⟩. ⟨hal-00935576v2⟩
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