Nonsingular Ricci flow on a noncompact manifold in dimension three

作者：Ma Li^*; Zhu Anqiang

来源：Comptes Rendus Mathematique, 2009, 347(3-4): 185-190.

DOI：10.1016/j.crma.2008.12.002

We consider the Ricci flow partial derivative/partial derivative(t)g = -2Ric on the 3-dimensional complete noncompact manifold (M, g (0)) with nonnegative curvature operator, i.e., Rm >= 0, and vertical bar Rm(p)vertical bar -> 0, as d(o, p) -> infinity. We prove that the Ricci flow on such a manifold is nonsingular in any finite time. To cite this article: L Ma, A. Zhu, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

• 出版日期2009-2
• 单位清华大学