Differential Geometry Seminar

Speaker: 
Zhifei Zhu, Iowa State University
Topic: 
Geometric inequalities on Riemannian manifolds with bounded Ricci curvature

Abstract:
I will discuss some upper bounds for the length of a shortest periodic geodesic, and the smallest area of a minimal integral varifold on closed Riemannian manifolds of dimension 4 with Ricci curvature between -1 and 1. These are the first bounds that use information about the Ricci curvature rather than sectional curvature of the manifold. (Joint with Nan Wu).

Event Date: 
March 4, 2020 - 2:30pm to 3:20pm
Location: 
B13 MLH
Calendar Category: 
Seminar
Seminar Category: 
Differential Geometry