TWO CLOSED GEODESICS ON COMPACT SIMPLY CONNECTED BUMPY FINSLER MANIFOLDS | |
Duan, Huagui ; Long, Yiming ; Wang, Wei | |
2016 | |
关键词 | MASLOV-TYPE INDEX SPHERES MULTIPLICITY 2-SPHERES STABILITY FORMULAS |
英文摘要 | We prove the existence of at least two distinct closed geodesics on a compact simply connected manifold M with a bumpy and irreversible Finsler metric, when H* (M; Q) congruent to T-d,T-h+1(x) for some integer h >= 2 and even integer d >= 2. Consequently, together with earlier results on S-n, it implies the existence of at least two distinct closed geodesics on every compact simply connected manifold M with a bumpy irreversible Finsler metric.; NSFC [11131004, 11471169, 11222105, 11431001]; LPMC of MOE of China; Nankai University; MCME; BCMIIS of Capital Normal University; Foundation for the Author of National Excellent Doctoral Dissertation of PR China [201017]; SCI(E); ARTICLE; duanhg@nankai.edu.cn; longym@nankai.edu.cn; alexanderweiwang@gmail.com; 2; 275-289; 104 |
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/20.500.11897/458777] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Duan, Huagui,Long, Yiming,Wang, Wei. TWO CLOSED GEODESICS ON COMPACT SIMPLY CONNECTED BUMPY FINSLER MANIFOLDS. 2016-01-01. |
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