Confoliations
Y. Eliashberg, William P. Thurston
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.It's features include: a unified approach to the topology of codimension-one foliations and contact geometry; insight on the geometric nature of integrability; and, new results, in particular on the perturbation of confoliations into contact structures
سب زمرہ:
سال:
1998
ناشر کتب:
Amer Mathematical Society
زبان:
english
صفحات:
82
ISBN 10:
6619916376
ISBN 13:
9786619916376
سیریز:
University Lecture Series 013
فائل:
DJVU, 876 KB
IPFS:
,
english, 1998