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arXiv · 2610.25253

The second closed geodesic on Finsler manifolds with $\mathbb{Z}_2$ fundamental group

Huagui Duan·Hui Liu·Wei Wang
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Abstract

Let $(M, F)$ be a compact bumpy Finsler manifold with $π_1(M)=\mathbb{Z}_2$, we prove that there exist at least two distinct non-contractible closed geodesics on $(M, F)$.

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Huagui Duan, Hui Liu, Wei Wang. 2026-10-18. The second closed geodesic on Finsler manifolds with $\mathbb{Z}_2$ fundamental group. https://arxiv.org/abs/2610.25253

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