Article

The Positive Mass Conjecture for Non-spin Manifolds

01/2005;
Source: arXiv

ABSTRACT We extend Witten's spinor proof of the positive mass theorem to large classes of complete asymptotically flat non-spin manifolds, including all manifolds of dimension less than or equal to 11 and all manifolds of dimension less than 26 which admit a codimension 3 immersion in Euclidean space.

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Keywords

codimension 3 immersion
 
complete asymptotically flat non-spin manifolds
 
equal
 
large classes
 
manifolds
 
Witten's spinor proof