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A remark on the rigidity case of the positive energy theorem

Nardmann, Marc (2010) A remark on the rigidity case of the positive energy theorem. Preprintreihe der Fakultät Mathematik 15/2010, Working Paper. (Unpublished)

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Abstract

In their proof of the positive energy theorem, Schoen and Yau showed that every asymptotically flat spacelike hypersurface M of a Lorentzian manifold which is flat along M can be isometrically imbedded with its given second fundamental form into Minkowski spacetime as the graph of a function Rn ! R; in particular,M is diffeomorphic to Rn. In this short note, we give an alternative proof of ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2010
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Deposited on:13 Apr 2011 03:44
Last modified:13 Mar 2014 17:14
Item ID:20483
Owner only: item control page

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