Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres
Differential Geometry
2007-06-20 v2
Abstract
We prove that for every -homological Finsler 3-sphere with a bumpy and irreversible metric , either there exist two non-hyperbolic prime closed geodesics, or there exist at least three prime closed geodesics.
Keywords
Cite
@article{arxiv.0705.4326,
title = {Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres},
author = {Huagui Duan and Yiming Long},
journal= {arXiv preprint arXiv:0705.4326},
year = {2007}
}
Comments
17 pages. Some modifications have been made. accepted by Calc. Var. & PDEs