7-10【段华贵】On the minimal number of closed geodesics on Finsler spheres

发布时间:2024-07-08来源:几何与物理研究中心中文网页浏览次数:219

报告人:段华贵南开大学

时间:2024年7月10日 14:00-15:00

地点:物质科研楼C1124


  

In this talk, we will introduce the problem about the optimal number of closed geodesics on Finsler spheres. In particular, recently it has been proved that for every Finsler metric on certain positively-curved spheres of dimension $n$, there exist at least $n$ prime closed geodesics, which solved a conjecture of Katok and Anosov for such spheres when $n$ is even, which is a joint work with Dong Xie.