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The second closed geodesic on Finsler manifolds with ℤ2 fundamental group
Abstract
Let $(M, F)$ be a compact bumpy Finsler manifold with π1(M)=ℤ2, we prove that there exist at least two distinct non-contractible closed geodesics on $(M, F)$.
Related
- Elliptic closed geodesics on non-negatively curved Finsler manifolds
- Ricci-pinched 3-Manifolds with second-fundamental-form-pinched Boundary
- Multiplicity of closed geodesics on odd-dimensional bumpy Finsler compact space form
- The Bonnet-Myers theorem on Finsler manifolds with integral weighted Ricci curvature bounds
- Sharp Constants, Threshold, and Failure of Uncertainty Principles on Non-trivial Flat Finsler Manifolds
BibTeX
@misc{duan2026second,
title = {{The second closed geodesic on Finsler manifolds with $\mathbbZ_2$ fundamental group}},
author = {Huagui Duan and Hui Liu and Wei Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25253},
eprint = {2610.25253},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25253},
}
RIS
TY - UNPB
TI - The second closed geodesic on Finsler manifolds with ℤ_2 fundamental group
AU - Huagui Duan
AU - Hui Liu
AU - Wei Wang
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2610.25253
UR - https://arxiv.org/abs/2610.25253
AB - Let $(M, F)$ be a compact bumpy Finsler manifold with π_1(M)=ℤ_2, we prove that there exist at least two distinct non-contractible closed geodesics on $(M, F)$.
ER -