The Positive Mass Conjecture for Non-spin Manifolds
نویسندگان
چکیده
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 n less than 26 which admit codimension 3 immersions into Euclidean space.
منابع مشابه
On the near-equality case of the Positive Mass Theorem
The Positive Mass Conjecture states that any complete asymptotically flat manifold of nonnnegative scalar curvature has nonnegative mass. Moreover, the equality case of the Positive Mass Conjecture states that in the above situation, if the mass is zero, then the Riemannian manifold must be Euclidean space. The Positive Mass Conjecture was proved by R. Schoen and S.-T. Yau for all manifolds of ...
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