| Abstract: |
| In this talk, we will introduce the problem about the optimal number of closed geodesics on spheres. 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. |
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