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A positive mass theorem for low-regularity metrics

Grant, JDE and Tassotti, N (2012) A positive mass theorem for low-regularity metrics

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Abstract

We prove a positive mass theorem for continuous Riemannian metrics in the Sobolev space $W^{2, n/2}_{\mathrm{loc}}(M)$. We argue that this is the largest class of metrics with scalar curvature a positive a.c. measure for which the positive mass theorem may be proved by our methods.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Grant, JDEUNSPECIFIEDUNSPECIFIED
Tassotti, NUNSPECIFIEDUNSPECIFIED
Date : 7 May 2012
Related URLs :
Additional Information : This is an arXiv publication.
Depositing User : Symplectic Elements
Date Deposited : 25 Nov 2014 11:01
Last Modified : 29 May 2015 01:33
URI: http://epubs.surrey.ac.uk/id/eprint/806579

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