报告题目 (Title):Finsler metrics by warped product
报告人 (Speaker):莫小欢 教授(北京大学)
报告时间 (Time):2022年11月1日(周二) 10:00-11:00
报告地点 (Place):腾讯会议(716-8675-1741)
邀请人(Inviter):席东盟、李晋、张德凯
主办部门:理学院数学系
报告摘要:In this lecture we discuss Finsler metrics by warped product. We find equations that characterize locally projectively flat Finsler warped product metrics of constant flag curvature. Using the obtained equations we manufacture new locally projectively flat Finsler warped product metrics of vanishing flag curvature. These metrics contain the metric introduced by Berwald and the spherically symmetric metric given by Mo-Zhu. Then we discuss Finsler warped product metrics with isotropic -curvature. We find the equation that characterize Finsler warped product metrics of isotropic -curvature. Finally we explicitly construct infinitely many new non-spherically symmetric Finsler warped product metrics of isotropic -curvature.