Nardmann, Marc (2010) A remark on the rigidity case of the positive energy theorem. Preprintreihe der Fakultät Mathematik 15/2010, Working Paper. (Unpublished)
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 fact. The argument generalises to the asymptotically hyperbolic case, works in every dimension n, and does not need a spin structure.
|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Felix Finster|
|Subjects:||500 Science > 510 Mathematics|
|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:||06 Sep 2011 06:51|