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arXiv · 2203.07896

Two short closed geodesics on a sphere of odd dimension

Hans-Bert Rademacher
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Abstract

We show that for an open and dense set non-reversible Finsler metrics on a sphere of odd dimension $n=2m-1 \ge 3$ there is a second closed geodesic with Morse index $\le 4(m+2)(m-1)+2.$

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Hans-Bert Rademacher. 2022-03-15. Two short closed geodesics on a sphere of odd dimension. https://arxiv.org/abs/2203.07896

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