Monday, April 10 at 1:00pm to 2:00pm
Engineering and Computer Science West (ECSW), 1.315
800 W. Campbell Road, Richardson, Texas 75080-3021
Speaker: Nan Wu, University of Texas at Dallas
Title: LENGTH OF A SHORTEST CLOSED GEODESIC IN MANIFOLDS OF DIMENSION FOUR
Abstract: In this talk, we show that for any closed 4-dimensional simply-connected Riemannian manifold M with Ricci curvature |Ric| <= 3k, volume vol(M) > v > 0 and diameter diam(M) <= D, the length of a shortest closed geodesic on M is bounded by a function F(k,v,D). The proof of this result is based on the diffeomorphism finiteness theorem for the manifolds satisfying above conditions proved by J. Cheeger and A. Naber. This talk is based on the joint work with Zhifei Zhu.
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