The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

Hui Liu, Yiming Long, Yuming Xiao

Let $M=S^n/\Gamma$ and $h$ be a nontrivial element of finite order $p$ in ${\pi }_1(M)$, where the integer $n\ge 2$, $\Gamma$ is a finite group which acts freely and isometrically on the $n$-sph…