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A remark on the rigidity case of the positive energy theorem

URN to cite this document:
urn:nbn:de:bvb:355-epub-204837
Nardmann, Marc
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Date of publication of this fulltext: 13 Apr 2011 03:44


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 this ...

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