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The existence of two closed geodesics on every Finsler 2-sphere
Authors:Victor Bangert  Yiming Long
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
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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