主题：The curvature properties in Finsler geometry

 

数学中心讲座

 

The curvature properties in Finsler geometry

程新跃教授（重庆理工大学）

 

时间：2011年11月9日下午2:00~~3:00;

地点：数学与统计学院422会议室

 

内容简介：

In this talk, we introduce some important geometric quantities and their meanings in Finsler geometry. These geometric quantities play very important roles in Finsler geometry. In particular, we study a special and important class of Finsler metrics, called (a,b)-metrics, which are defined by F=a f(b/a) , where a is a Riemannian metric and b is a 1-form. We characterize Einstein (a,b)-metrics and show that, if f=f(s) is a polynomial in s, the (a,b)-metrics  F=a f(b/a) is Einstein if and only if it is Ricci-flat. Further, we characterize and classify Ricci-flat Douglas (a,b)-metrics.

 

程新跃简介： 教授，匈牙利国立德布勒森大学(University of Debrecen) 博士,重庆市学术技术带头人,重庆理工大学学科带头人、数学与统计学院院长，重庆市数学会副理事长；上海大学博士生导师，西南大学兼职教授、博士生导师；

注：因为无法上传公式，也无法输入希腊字母，“内容简介”中公式的字母做了替换。