Name: A theorem of Eliashberg and Thurston on foliations and contact structures
ISBN: 978-88-7642-286-7

Overview

Authors:

Carlo Petronio ⁰

Carlo Petronio
1. Università di Pisa Dipto. Matematica, Pisa, Italy
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Part of the book series: Publications of the Scuola Normale Superiore (PSNS)

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Keywords

contact structures
foliations

About this book

These notes originate from a seminar held in Pisa in November and December 1996 jointly by Riccardo Benedetti, Paolo Lisca and me. The aim of these notes is to give a detailed proof of the following result due to Eliashberg and Thurston: THM Let M be a closed oriented 3-manifold and let F be a cooriented C2-smooth codimension-1 foliation on M. Assume that (M,F) is not diffeomorphic to the product foliation on S2xS1. Then arbitrarily close to F in the C0 topology there exist a positive and a negative C\infty contact structure.

Authors and Affiliations

Università di Pisa Dipto. Matematica, Pisa, Italy

Carlo Petronio

Bibliographic Information

Book Title: A theorem of Eliashberg and Thurston on foliations and contact structures
Authors: Carlo Petronio
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Softcover ISBN: 978-88-7642-286-7Due: 01 October 1997
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: 61

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A theorem of Eliashberg and Thurston on foliations and contact structures