On the average indices of closed geodesics on positively curved Finsler spheres | |
Wang, Wei | |
2013 | |
关键词 | MASLOV-TYPE INDEX HAMILTONIAN-SYSTEMS CRITICAL-POINTS MANIFOLDS EXISTENCE ITERATION FORMULAS |
英文摘要 | In this paper, we prove that on every Finsler n-sphere (S (n) , F) for n a parts per thousand yen 6 with reversibility lambda and flag curvature K satisfying , either there exist infinitely many prime closed geodesics or there exist closed geodesics possessing irrational average indices. If in addition the metric is bumpy, then there exist n-3 closed geodesics possessing irrational average indices provided the number of prime closed geodesics is finite.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000315036900009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 4; ARTICLE; 3; 1049-1065; 355 |
语种 | 英语 |
出处 | SCI |
出版者 | mathematische annalen |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157493] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wang, Wei. On the average indices of closed geodesics on positively curved Finsler spheres. 2013-01-01. |
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