On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics

Huagui Duan, Hui Liu

If all prime closed geodesics on $(S^n,F)$ with an irreversible Finsler metric $F$ are irrationally elliptic, there exist either exactly $2\left[\frac{n+1}{2}\right]$ or infinitely…