Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

Huagui Duan, Dong Xie

Let $M$ be a compact simply connected manifold satisfying $H^{\ast }(M;\mathbf{Q})\cong T_{d,n+1}(x)$ for integers $d\ge 2$ and $n\ge 1$. If all prime closed geodesics on $(M,F)$ with an…