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arXiv · 0705.4326

Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres

Huagui Duan·Yiming Long
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Abstract

We prove that for every $\Q$-homological Finsler 3-sphere $(M,F)$ with a bumpy and irreversible metric $F$, either there exist two non-hyperbolic prime closed geodesics, or there exist at least three prime closed geodesics.

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Huagui Duan, Yiming Long. 2007-06-20. Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. https://arxiv.org/abs/0705.4326

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