Confoliations (13) - Couverture souple

Eliashberg, Yakov; Thurston, William P.

Couverture souple

ISBN 10 : 0821807765 ISBN 13 : 9780821807767

Editeur : American Mathematical Society, 1997

Synopsis

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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0821807765
• ISBN 13: 9780821807767
• Reliure: Broché
• Nombre de pages: 66
• Coordonnées du fabricant: Oxford University Press; https://corp.oup.com/; ; WMF Platz 1; Geislingen/Steige; Baden-W?rttemberg; 73312; Allemagne