Se p 20 07 The existence of two closed geodesics on every Finsler 2 - sphere
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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
2 00 7 The existence of two closed geodesics on every Finsler 2 - sphere
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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