%0 Journal Article
%T On the average indices of closed geodesics on positively curved Finsler spheres
%A Wei Wang
%J Mathematics
%D 2008
%I arXiv
%X In this paper, we prove that on every Finsler $n$-sphere $(S^n, F)$ for $n\ge 6$ with reversibility $\lambda$ and flag curvature $K$ satisfying $(\frac{\lambda}{\lambda+1})^2<K\le 1$, either there exist infinitely many prime closed geodesics or there exist $[\frac{n}{2}]-2$ closed geodesics possessing irrational average indices. If in addition the metric is bumpy, then there exist $n-3$ closed geodesics possessing irrational average indices provided the number of closed geodesics is finite.
%U http://arxiv.org/abs/0812.0039v1