Contact 3-manifolds twenty years since J. Martinet's work
type: Item
instance of: scholarly article
title: Contact 3-manifolds twenty years since J. Martinet's work
zbMATH Open document ID: 0756.53017
author: Yakov Eliashberg
publication date: 1993-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74949
review text: The paper gives an account of the recent development in 3-dimensional contact geometry. The central result of the paper states that there exists a unique tight contact structure on \(S^ 3\). Together with the earlier classification of overtwisted contact structures on 3-manifolds this result completes the classification of contact structures on \(S^ 3\).
reviewed by: Yakov Eliashberg
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 57R15
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53-02
zbMATH DE Number: 118265
zbMATH Keywords: contact geometry
zbMATH Keywords: tight contact structure
zbMATH Keywords: overtwisted contact structures
zbMATH Keywords: 3-manifolds
MaRDI profile type: Publication
OpenAlex ID: W2092511413
cites work: Q3692516
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DOI: 10.5802/AIF.1288
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 118265