报告题目：Finsler warped product metrics
报告人：莫小欢 北京大学数学科学学院教授、博士生导师
时间：2019年5月24日下午4:00-5:00
地点：数信学院3401
摘要：In this lecture we discuss the warped structures of Finsler metrics. We obtain the differential equation that characterizes the Finsler warped product metrics with vanishing Douglas curvature. By solving this equation, we obtain all Finsler warped product Douglas metrics. Some new Douglas Finsler metrics of this type are produced by using known spherically symmetric Douglas metrics. We also refine and improve Chen-Shen-Zhao equations characterizing Finsler warped product metrics of scalar flag curvature. In particular,we find equations that characterize Finsler warped product metrics of constant flag curvature. Then we improve Chen-Shen-Zhao result on characterizingEinstein Finsler warped product metrics. As its application we construct explicitly many new warped product Douglas metrics of constant Ricci curvatureby using known locally projectively flat spherically symmetric metrics of constant flag curvature.
报告人简介：莫小欢, 北京大学数学科学学院教授，博士生导师，长期从事几何学的教学和研究。2002年荣获教育部提名国家自然科学奖一等奖（独立），2007年主持的《几何学》课程被评为国家级精品课，2009年获得国家教学成果二等奖。先后应邀前往美国麻省理工大学和加州大学伯克利分校，德国马克思·普朗克数学研究所（波思与莱比锡），法国高等科学研究院，意大利国际理论物理中心，巴西巴西利亚大学,尼特罗伊大学和坎皮纳斯大学等世界著名科研机构访问。目前已发表学术论文100余篇，其中被SCI收录80余篇，论文被引用达到506次。
