报告题目 (Title)：On Ricci-quadratic sprays (or Finsler) spaces
中文标题：论里奇二次喷流（或芬斯勒）空间
报告人 (Speaker)：莫小欢（北京大学）
报告时间 (Time)：2025年5月7日（周三） 13:30
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：席东盟、李晋、吴加勇
主办部门：理学院数学系
报告摘要：In this lecture, we discuss Ricci-quadratic sprays (or Finsler) spaces which are non-trivial in the sense that these sprays (or Finsler) spaces are not strongly Ricci-quadratic. First, we find infinitely many such sprays on an open domain in Rn which are not induced by (not necessary positive definite) Finsler metrics. Then we explicitly construct a lot of non-trivial Ricci-quadratic Finsler metrics by finding the PDE characterization for the spherically symmetric Finsler metrics to be Ricci-quadratic and strongly Ricci-quadratic.
