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

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

2007-05-30

arxiv.org/abs/0705.4326v2

Mathematics

Differential Geometry

17 pages. Some modifications have been made. accepted by Calc. Var. & PDEs

Scientific paper

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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