Multiple closed geodesics on bumpy Finsler n-spheres
classification
🧮 math.DG
keywords
bumpyclosedeveryfinslergeodesicsalwaysdimensionaldistinct
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In this paper we prove that for every bumpy Finsler metric $F$ on every rationally homological $n$-dimensional sphere $S^n$ with $n\ge 2$, there exist always at least two distinct prime closed geodesics.
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