The existence of two closed geodesics on every Finsler 2-sphere

Details The existence of two closed geodesics on every Finsler 2-sphere The existence of two closed geodesics on every Finsler 2-sphere

2007-09-09

arxiv.org/abs/0709.1243v2

Mathematics

Symplectic Geometry

36 pages, 1 figure, added a remark before Theorem 1.1

Scientific paper

In this paper, we prove that for every Finsler metric on the 2-dimensional
sphere 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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