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NCTS Seminar in Differential Geometry
 
16:00 - 17:00, March 17, 2016 (Thursday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Convergence and Shi-type Estimate of the Ricci Flow Based on Ricci Curvature
Chih-Wei Chen (NCTS)

Speaker

Chih-Wei Chen (NTU)

Abstract

We show that a uniform local bound for the derivative of Ricci curvature can be derived from local bounds of Ricci curvature and injectivity radius among all n-dimensional Ricci flows.  In particular, curvature operator is bounded along these flows and the long-term convergence is thus derived. Reference: Chih-Wei Chen, Compactness and Shi-type estimate of the Ricci flow based on Ricci curvature, http://arxiv.org/pdf/1602.01939.pdf



 

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