Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (3): 731-750.doi: 10.1016/S0252-9602(09)60068-0

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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

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

CLC Number: 

  • 53C22
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