The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler $\mathbb{R}{P}^n$

Hui Liu

In this paper, we prove that for every irreversible Finsler $n$-dimensional real projective space $(\mathbb{R}{P}^n,F)$ with reversibility $\lambda$ and flag curvature $K$ satisfying $\fra…