Multiple closed geodesics on bumpy Finsler n-spheres

作者:Duan Huagui; Long Yiming*
来源:Journal of Differential Equations, 2007, 233(1): 221-240.
DOI:10.1016/j.jde.2006.10.002

摘要

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