Confoliations (eBook)

Yakov M Eliashberg (Autor)

eBook Download: PDF

2015
66 Seiten
American Mathematical Society (Verlag)
978-1-4704-2162-5 (ISBN)

Infos

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 "e;brother"e; 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. Features: A unified approach to the topology of codimension-one foliations and contact geometry. Insight on the geometric nature of integrability. New results, in particular on the perturbation of confoliations into contact structures.

Produkt-Details

• Erscheint lt. Verlag: 2.1.2015
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2162-3 / 1470421623
• ISBN-13: 978-1-4704-2162-5 / 9781470421625