Closed geodesics on positively curved Finsler spheres

Mathematics – Differential Geometry

Scientific paper

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41 pages. Revised version. To appear in Adv. Math

Scientific paper

In this paper, we prove that for every Finsler $n$-sphere $(S^n, F)$ for $n\ge 3$ with reversibility $\lambda$ and flag curvature $K$ satisfying $(\frac{\lambda}{\lambda+1})^2

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