Multiple closed geodesics on bumpy Finsler n-spheres
Copyright policy )Multiple closed geodesics on bumpy Finsler n-spheres
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.
22 pages
- Nankai University China (People's Republic of)
Mathematics - Differential Geometry, Global differential geometry of Finsler spaces and generalizations (areal metrics), Differential Geometry (math.DG), FOS: Mathematics, rationally homological \(n\)-dimensional sphere, Geodesics in global differential geometry, prime closed geodesics, Analysis
Mathematics - Differential Geometry, Global differential geometry of Finsler spaces and generalizations (areal metrics), Differential Geometry (math.DG), FOS: Mathematics, rationally homological \(n\)-dimensional sphere, Geodesics in global differential geometry, prime closed geodesics, Analysis
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