Multiple closed geodesics on bumpy Finsler n-spheres |
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| Authors: | Huagui Duan Yiming Long |
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| Institution: | a Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China
b Key Lab of Pure Mathematics and Combinatorics of Ministry of Education, Nankai University, Tianjin 300071, People's Republic of China |
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| Abstract: | In this paper we prove that for every bumpy Finsler metric F on every rationally homological n-dimensional sphere Sn with n?2, there exist always at least two distinct prime closed geodesics. |
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