  Let $M$ be a compact simply connected manifold satisfying
$H^*(M;\mathbf{Q})\cong T_{d,n+1}(x)$ for integers $d\ge 2$ and $n\ge 1$. If
all prime closed geodesics on $(M,F)$ with an irreversible bumpy Finsler metric
$F$ are elliptic, either there exist exactly $\frac{dn(n+1)}{2}$ (when $d\ge 2$
is even) or $(d+1)$ (when $d\ge 3$ is odd) distinct closed geodesics, or there
exist infinitely many distinct closed geodesics.
