English

Ricci flow on asymptotically Euclidean manifolds

Differential Geometry 2018-03-28 v4

Abstract

In this paper, we prove that if an asymptotically Euclidean manifold (Mn,g)(M^n,g) under the condition that R0R \ge 0 has long time existence of Ricci flow, the mass of (Mn,g)(M^n,g) is nonnegative. In addition, we give an independent proof of positive mass theorem in dimension 33.

Keywords

Cite

@article{arxiv.1603.05336,
  title  = {Ricci flow on asymptotically Euclidean manifolds},
  author = {Yu Li},
  journal= {arXiv preprint arXiv:1603.05336},
  year   = {2018}
}