On Ricci-quadratic sprays (or Finsler) spaces
来源：
发布时间：2026-08-17
报告时间：- 2026年8月21日 （周五）下午16:00-17:00
- 报告地点：
- 国交二号楼315会议室
- 报告人：
- 莫小欢
- 报告人单位：
- 北京大学
- 邀请人：
- 程亮
- 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 $\mathbb{R}^n$ 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.
莫小欢（北京大学）
