Nonsingular Ricci flow on a noncompact manifold in dimension three

Li Ma; Anqiang Zhu

Nonsingular Ricci flow on a noncompact manifold in dimension three

Differential Geometry 2008-07-01 v1 Analysis of PDEs

Authors: Li Ma , Anqiang Zhu

Abstract

We consider the Ricci flow $\frac{\partial}{\partial t}g=-2Ric$ on the 3-dimensional complete noncompact manifold $(M,g(0))$ with non-negative curvature operator, i.e., $Rm\geq 0, |Rm(p)|\to 0, ~as ~d(o,p)\to 0.$ We prove that the Ricci flow on such a manifold is nonsingular in any finite time.

Keywords

ricci flow geodesic flow

Cite

@article{arxiv.0806.4672,
  title  = {Nonsingular Ricci flow on a noncompact manifold in dimension three},
  author = {Li Ma and Anqiang Zhu},
  journal= {arXiv preprint arXiv:0806.4672},
  year   = {2008}
}

Comments

6 pages

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