数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (3): 731-750.doi: 10.1016/S0252-9602(09)60068-0

• 论文 • 上一篇    下一篇

MORSE CONCAVITY FOR CLOSED GEODESICS

段华桂,龙以明   

  1. 1.Chern Institute of Mathematics|2.School of Mathematics|3.Key Lab of Pure Mathematics and Combinatorics of Ministry of Education, Nankai University, Tianjin 300071, China
  • 收稿日期:2008-12-25 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:

    Partially supported by NSF (10801079), RFDP (20080551002), LPMC of MOE of China. Partially supported by the 973 Program of MOST, NNSF, MCME, RFDP, LPMC of MOE of China, S. S. Chern Foundation, and Nankai University

MORSE CONCAVITY FOR CLOSED GEODESICS

 DUAN Hua-Gui, LONG Si-Meng   

  1. 1.Chern Institute of Mathematics|2.School of Mathematics|3.Key Lab of Pure Mathematics and Combinatorics of Ministry of Education, Nankai University, Tianjin 300071, China
  • Received:2008-12-25 Online:2009-05-20 Published:2009-05-20
  • Supported by:

    Partially supported by NSF (10801079), RFDP (20080551002), LPMC of MOE of China. Partially supported by the 973 Program of MOST, NNSF, MCME, RFDP, LPMC of MOE of China, S. S. Chern Foundation, and Nankai University

摘要:

In this paper, the concavity of closed geodesics proposed by M. Morse in 1930s is studied.

关键词: closed geodesic, concavity, sypletic matrix, Morse index

Abstract:

In this paper, the concavity of closed geodesics proposed by M. Morse in 1930s is studied.

Key words: closed geodesic, concavity, sypletic matrix, Morse index

中图分类号: 

  • 53C22