On the average indices of closed geodesics on positively curved Finsler spheres

Details On the average indices of closed geodesics on positively curved Finsler spheres On the average indices of closed geodesics on positively curved Finsler spheres

2008-11-29

arxiv.org/abs/0812.0039v1

Mathematics

Differential Geometry

18 pages

Scientific paper

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

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