Title：ODE Methods in Finsler Geometry

Spearker：Zhongmin Shen，Indiana University-Purdue University Indianapolis

Time：2017年7月6日（周四）   下午16:00-17:00

Room：东区管理科研楼  数学科学学院1418室

Abstract：Finsler metrics are just Riemann metrics without quadratic restriction. There are several notions of curvatures including the Riemann curvature. These quantities interact with each other.  The Hilbert metric on the unit ball in R^n is a complete reversible metric of constant   flag curvature  K=-1. However, Akbar-Zadeh’s Theorem asserts that any Finsler metric on a closed manifold with K=-1 must be Riemannian.

In this talk, I will briefly discuss the ODE methods used in some  rigidity problems in Finsler geometry.