Vol. 240, No. 2, 2009

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A remark on degenerate singularities in three dimensional Ricci flow

Yu Ding

Vol. 240 (2009), No. 2, 289–308
Abstract

We show that a rescaling limit at any degenerate singularity of Ricci flow in dimension 3 is a steady gradient soliton. In particular, we give a geometric description of type I and type II singularities.

Keywords
Ricci flow, singularity
Mathematical Subject Classification 2000
Primary: 53C44
Milestones
Received: 7 May 2008
Revised: 9 December 2008
Accepted: 15 December 2008
Published: 4 March 2009
Authors
Yu Ding
Department of Mathematics and Statistics
California State University
Long Beach, CA 90840
United States
http://www.csulb.edu/~yding