Acta mathematica scientia, Series B >
MORSE CONCAVITY FOR CLOSED GEODESICS
Received date: 2008-12-25
Online 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
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
DUAN Hua-Gui , LONG Si-Meng . MORSE CONCAVITY FOR CLOSED GEODESICS[J]. Acta mathematica scientia, Series B, 2009 , 29(3) : 731 -750 . DOI: 10.1016/S0252-9602(09)60068-0
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