2 00 7 The existence of two closed geodesics on every Finsler 2 - sphere
نویسندگان
چکیده
In this paper, we prove that for every Finsler metric on S there exist at least two distinct prime closed geodesics. For the case of the two-sphere, this solves an open problem posed by D. V. Anosov in 1974.
منابع مشابه
M ay 2 00 7 Multiple closed geodesics on bumpy Finsler n - spheres
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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In this paper, we prove that for every Finsler metric on S there exist at least two distinct prime closed geodesics. For the case of the two-sphere, this solves an open problem posed by D. V. Anosov in 1974.
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