The existence of two closed geodesics on every Finsler 2-sphere |
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Authors: | Victor Bangert Yiming Long |
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Institution: | (1) Chern Institute of Mathematics, Nankai University, Tianjin, 300071, People’s Republic of China;(2) 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 Finsler metric on S
2 there exist at least two distinct prime closed geodesics. |
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Keywords: | |
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