Multiple closed geodesics on bumpy Finsler $n$-spheres

Huagui Duan; Yiming Long

doi:10.1016/j.jde.2006.10.002

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arXiv · 0705.4327

Multiple closed geodesics on bumpy Finsler $n$-spheres

Huagui Duan·Yiming Long

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Abstract

In this paper we prove that for every bumpy Finsler metric $F$ on every rationally homological $n$-dimensional sphere $S^n$ with $n\ge 2$, there exist always at least two distinct prime closed geodesics.

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Huagui Duan, Yiming Long. 2007-05-30. Multiple closed geodesics on bumpy Finsler $n$-spheres. https://doi.org/10.1016/j.jde.2006.10.002

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