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arxiv: math/0608160 · v1 · submitted 2006-08-07 · 🧮 math.DG

The second closed geodesic on Finsler spheres of dimension n>2

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keywords closedfinslerbumpydimensiondistinctexistencegeodesicgeodesics
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We show the existence of at least two geometrically distinct closed geodesics on an n-dimensional sphere with a bumpy and non-reversible Finsler metric for n>2.

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