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	The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
	Duan, Huagui ; Long, Yiming ; Wang, Wei
	2016
关键词	MASLOV-TYPE INDEX POSITIVELY CURVED MANIFOLDS SPHERES MULTIPLICITY STABILITY 2-SPHERES EXISTENCE 3-SPHERES ITERATION DYNAMICS
英文摘要	In this paper, we first generalize the common index jump theorem for symplectic matrix paths proved in Long and Zhu (Ann Math 155: 317-368, 2002), and get an enhanced version of it. Then we give several applications providing lower bounds on the number of distinct closed geodesics in various settings on compact simply-connected Finslermanifolds.; NSFC [11131004, 11671215, 11222105, 11431001]; LPMC of MOE of China; Nankai University; MCME; BAICIT of Capital Normal University; SCI(E); ARTICLE; duanhg@nankai.edu.cn; longym@nankai.edu.cn; alexanderweiwang@gmail.com; 6; 55
语种	英语
出处	SCI
出版者	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/458249]
专题	数学科学学院
推荐引用方式 GB/T 7714	Duan, Huagui,Long, Yiming,Wang, Wei. The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. 2016-01-01.

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