Universal positive mass theorems

Authors :: Marc Herzlich
Institut Montpelliérain Alexander Grothendieck (IMAG)
Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)
ANR-12-BS01-0004,GTO,Géométrie et Topologie des variétés ouvertes(2012)
Source :: Communications in Mathematical Physics, Communications in Mathematical Physics, Springer Verlag, 2017, 351 (3), pp.973-992. ⟨10.1007/s00220-016-2777-6⟩
Publication Year :: 2014
Publisher :: arXiv, 2014.
Abstract: 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.<br />Comment: Communications in Mathematical Physics, Springer Verlag, 2016, to appear

ISSN :: 00103616 and 14320916
Database :: OpenAIRE
Journal :: Communications in Mathematical Physics, Communications in Mathematical Physics, Springer Verlag, 2017, 351 (3), pp.973-992. ⟨10.1007/s00220-016-2777-6⟩
Accession number :: edsair.doi.dedup.....afd1ba0dbcc927d1ab1d75a3c591bee7
Full Text :: https://doi.org/10.48550/arxiv.1401.6009