Multiple closed geodesics on bumpy Finsler $n$-spheres

Details Multiple closed geodesics on bumpy Finsler $n$-spheres Multiple closed geodesics on bumpy Finsler $n$-spheres

2007-05-30

arxiv.org/abs/0705.4327v1

J. Differential Equations 233 (2007) 221-240

Mathematics

Differential Geometry

22 pages

Scientific paper

10.1016/j.jde.2006.10.002

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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