《Confoliations》是Amer Mathematical Society出版的圖書，作者是Y. Eliashberg，William P. Thurston
基本介紹
- ISBN：9780821807767
- 作者：Y. Eliashberg、William P. Thurston
- 出版社：Amer Mathematical Society
- 出版時間：1997年12月
- 頁數：66
- 定價：USD 20.00
- 裝幀：Paperback
- 叢書：University Lecture Series
內容簡介
This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology a...(展開全部) This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional "brother" of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between contact structures and codimension-one foliations--should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.
