Closed geodesics on positively curved spheres $S^n$ with Finsler metric induced by $(\mathbb{R}{P}^n,F)$

Hui Liu, Wei Wang

It's well known that the n-sphere $S^n$ is the universal double covering of the $n$-dimensional real projective space $\mathbb{R}{P}^n$ and then any Finsler metric on $\mathbb{R}{P}^n$…