Closed geodesics on positively curved Finsler spheres
| dc.creator | Wang, Wei | |
| dc.date | 2007-05-29 | |
| dc.date | 2008-03-19 | |
| dc.date.accessioned | 2026-07-07T09:27:14Z | |
| dc.date.available | 2026-07-07T09:27:14Z | |
| dc.description | In this paper, we prove that for every Finsler $n$-sphere $(S^n, F)$ for $n\ge 3$ 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 exists one elliptic closed geodesic whose linearized Poincaré map has at least one eigenvalue which is of the form $\exp(πi μ)$ with an irrational $μ$. Furthermore, there always exist three prime closed geodesics on any $(S^3, F)$ satisfying the above pinching condition. | |
| dc.description | 41 pages. Revised version. To appear in Adv. Math | |
| dc.identifier | https://arxiv.org/abs/0705.4190 | |
| dc.identifier | http://arxiv.org/abs/0705.4190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157025 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C22, 53C60, 58E10 | |
| dc.title | Closed geodesics on positively curved Finsler spheres | |
| dc.type | text |