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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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