The existence of two closed geodesics on every Finsler 2-sphere - Mathematics > Symplectic Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this paper, we prove that for every Finsler metric on the 2-dimensionalsphere there exist at least two distinct prime closed geodesics. For the caseof the two-sphere, this solves an open problem posed by D. V. Anosov in 1974.



Author: Victor Bangert, Yiming Long

Source: https://arxiv.org/

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