English

The Positive Mass Conjecture for Non-spin Manifolds

Differential Geometry 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0412151,
  title  = {The Positive Mass Conjecture for Non-spin Manifolds},
  author = {Anda Degeratu and Mark Stern},
  journal= {arXiv preprint arXiv:math/0412151},
  year   = {2007}
}

Comments

This paper has been withdrawn due to a sign error in proposition 6.5

R2 v1 2026-07-22T17:13:18.520Z