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

Hans-Bert Rademacher
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Abstract

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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Hans-Bert Rademacher. 2006-08-07. The second closed geodesic on Finsler spheres of dimension n>2. https://arxiv.org/abs/math/0608160

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