Flag curvature and Ricci curvature in Finsler geometry

Zhongmin Shen
Indiana University-Purdue University Indianapolis

Roughly speaking, Finsler metrics are regular distance functions. Flag curvature is a natural extension of sectional curvature in Riemannian geometry. Its mean is Ricci curvature. In this talk, I will briefly introduce Finsler metrics, curvatures, and some basic comparison and rigigity theorems.