关于动态凸接触形式的周期性 Reeb 轨道的结 knot 类型
辛几何
2025-12-19 v2
摘要
我们构造出标准接触 3-球中不可实现为动态凸接触形式周期性 Reeb 轨道的横向结类型。特别是，此类横向结类型不作为四维雅可比向量空间严格凸能量水平的闭合特征出现。
引用
@article{arxiv.2512.08190,
title = {On the knot types of periodic Reeb orbits of dynamically convex contact forms},
author = {Umberto L. Hryniewicz and Pedro A. S. Salomão and Richard Siefring},
journal= {arXiv preprint arXiv:2512.08190},
year = {2025}
}
备注
31 pages, with corrections and updated references. We thank Shah Faisal for spotting a mistake in the statement Theorem 1.4 of a previous version of this paper: the periodic orbit claimed to exist in the concave end is not necessarily contractible