The Positive Mass Conjecture for Non-spin Manifolds

Mathematics – Differential Geometry

Scientific paper

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This paper has been withdrawn due to a sign error in proposition 6.5

Scientific paper

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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