Multiple closed geodesics on bumpy Finsler $n$-spheres
Differential Geometry
2007-05-31 v1
Abstract
In this paper we prove that for every bumpy Finsler metric on every rationally homological -dimensional sphere with , there exist always at least two distinct prime closed geodesics.
Cite
@article{arxiv.0705.4327,
title = {Multiple closed geodesics on bumpy Finsler $n$-spheres},
author = {Huagui Duan and Yiming Long},
journal= {arXiv preprint arXiv:0705.4327},
year = {2007}
}