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

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dc.creatorWang, Wei
dc.date2008-11-29
dc.date.accessioned2026-07-07T12:08:05Z
dc.date.available2026-07-07T12:08:05Z
dc.descriptionIn this paper, we prove that on every Finsler $n$-sphere $(S^n, F)$ for $n\ge 6$ with reversibility $λ$ and flag curvature $K$ satisfying $(\fracλ{λ+1})^2<K\le 1$, 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0812.0039
dc.identifierhttp://arxiv.org/abs/0812.0039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209198
dc.subjectDifferential Geometry
dc.subject53C22, 53C60, 58E10
dc.titleOn the average indices of closed geodesics on positively curved Finsler spheres
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