$\mathbf{R}^{2n}$ 中紧致星形超曲面上闭特征的二分性结果
辛几何
2022-05-31 v1 动力系统
摘要
本文证明：若 中紧致非退化星形超曲面 上的所有闭特征均为椭圆型，则要么恰存在 个几何不同的闭特征，要么存在无穷多个几何不同的闭特征。
引用
@article{arxiv.2205.14789,
title = {A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in $\mathbf{R}^{2n}$},
author = {Huagui Duan and Hui Liu and Wenyan Ren},
journal= {arXiv preprint arXiv:2205.14789},
year = {2022}
}
备注
17 pages, to appear in Mathematische Zeitschrift. arXiv admin note: substantial text overlap with arXiv:2205.07082, arXiv:1510.08648, arXiv:1601.03470, arXiv:1405.5739, arXiv:1308.3904, arXiv:1308.3543