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NCTS Seminar in Differential Geometry
 
10:30 - 12:00, October 14, 2016 (Friday)
Room 201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Cheeger-Gromoll Splitting Theorem and Further Applications
Chao-Ming Lin (National Taiwan University)

Abstract

The main goal of this seminar is to understand the Cheeger-Colding theory on the Gromov-Hausdorff limit, and its applications. In this first talk, we will go through the Cheeger-Gromoll splitting theorem, it states that if a complete Riemannian manifold with non-negative Ricci curvature has a straight line, then the Riemannian manifold is isometric to a product space . Also, we will consider further applications on compact manifolds with non-negative Ricci curvature.



 

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