Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres
classification
🧮 math.DG
keywords
closedgeodesicsbumpyexistfinslerprimethereeither
read the original 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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