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.

Engineering and Computer Science West (ECSW), 1.315
800 W. Campbell Road, Richardson, Texas 75080-3021

Natural Sciences & Mathematics
Stephen E. McKeown
Email

UTD strives to create inclusive and accessible events in accordance with the Americans with Disabilities Act (ADA). If you require an accommodation to fully participate in this event, please contact the event coordinator (listed above) at least 10 business days prior to the event. If you have any additional questions, please email ADACoordinator@utdallas.edu and the AccessAbility Resource Center at accessability@utdallas.edu.

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