NON-HYPERBOLIC CLOSED GEODESICS ON FINSLER SPHERES | |
Wang, Wei | |
2015 | |
关键词 | MASLOV-TYPE INDEX POSITIVELY CURVED MANIFOLDS CRITICAL-POINTS EXISTENCE ITERATION FORMULAS |
英文摘要 | In this paper, we prove that for every bumpy Finsler 2k-sphere (S-2K, F) with reversibility lambda and flag curvature K satisfying the 2 pinching condition (lambda/lambda+1)(2) < K <= 1, either there exist infinitely many closed geodesics or there exist at least 2k non-hyperboliC closed geodesics. Due to the example [Kat] of A. B. Katok, this estimate is sharp.; Mathematics; SCI(E); 0; ARTICLE; alexanderweiwang@gmail.com; 3; 473-496; 99 |
语种 | 英语 |
出处 | SCI |
出版者 | journal of differential geometry |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/314199] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wang, Wei. NON-HYPERBOLIC CLOSED GEODESICS ON FINSLER SPHERES. 2015-01-01. |
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