三维流形上全叶状结构与双接触结构的同伦类
几何拓扑
2009-10-19 v2
摘要
在每一个紧致可定向三维流形上，我们构造了全叶状结构（三个在每一点都横截的余维 1 叶状结构）。该构造可在欧拉类为零的任意平面场同伦类上实施。作为推论，我们获得了关于双接触结构的类似结果。
引用
@article{arxiv.0706.1879,
title = {Homotopy classes of total foliations and bi-contact structures on three-manifolds},
author = {Masayuki Asaoka and Emmanuel Dufraine and Takeo Noda},
journal= {arXiv preprint arXiv:0706.1879},
year = {2009}
}
备注
27 pages, 13 figures. This is the final version. To appear in Comm. Math. Helv