非紧流形上无穷多个不可缩的闭磁测地线
微分几何
2023-02-01 v4 动力系统
摘要
在本文中，我们从 Morse 理论的观点研究非紧流形上能量水平高于万有覆盖的 Mañé 临界值的精确磁流周期轨道的存在性与多重性。
引用
@article{arxiv.2006.16075,
title = {Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds},
author = {Wenmin Gong},
journal= {arXiv preprint arXiv:2006.16075},
year = {2023}
}
备注
31 pages, final version, added more details about the computation of relative homology groups with respect to level sets in terms of critical groups of isolated critical submanifolds whose functional may be not $G$-invariant, see appendix B