On Ricci-quadratic sprays (or Finsler) spaces

发布时间：2026-08-17 作者：浏览次数：

Speaker:	莫小欢	DateTime:	2026年8月21日（周五）下午16:00-17:00
Brief Introduction to Speaker: 莫小欢，北京大学		Place:	国交二号楼315会议室
Abstract: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.