FOLIATIONS AND CONTACT STRUCTURES ON 3-MANIFOLDS
FOLIATIONS AND CONTACT STRUCTURES ON 3-MANIFOLDS
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3 歧管上的叶片和接触结构
DOI：
10.1142/9789812778246_0005
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发表时间：
2002
影响因子：
0.4
通讯作者：
Y. Mitsumatsu
中科院分区：
文献类型：
--
作者：
Y. Mitsumatsu
本文是对华沙迷你课程的重新介绍，该课程讨论了最近叶理理论与三维流形上接触结构理论之间的相互作用。在会议上，作者准备并分发了一份关于三维接触拓扑的相当长的笔记，其中包括对接触几何基本原理的介绍性阐述以及它的最新进展。本文更多地集中在主要主题上，如与Anosov流相关的共生理论、接触结构和叶理的简要介绍，以及它们的推广，而对接触拓扑本身的介绍较少。在最后一节中，提出了在大会期间的问题会议上提出的一些问题。
This article is a re-presentation of the minicourse in Warsaw which dealt with recent interactions between the theory of foliations and that of contact structures on 3-manifolds. In the conference, the author prepared and distributed a rather lengthy note on 3-dimensional contact topology, which contains introductory expositions of fundamentals in contact geometry as well as its recent progress. The present article focuses more on the main themes such as a brief introduction to the theory of confoliations, contact structures and foliations associated with Anosov flows, and their generalizations, and contains less about the contact topology itself. In the final section, some problems which were presented in the problem session during the conference are raised.