Convexité en topologie de contact. (Convexity in contact topology)
type: Item
instance of: scholarly article
title: Convexité en topologie de contact. (Convexity in contact topology)
zbMATH Open document ID: 0766.53028
DOI: 10.1007/BF02566670
author: Emmanuel Giroux
published in: Commentarii Mathematici Helvetici
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/140253
review text: A contact structure \(\xi\) on a manifold \(V\) is convex if there exists a proper Morse function \(f: V\to[0,\infty)\) with a gradient-like vector field preserving \(\xi\) [\textit{Ya. Eliashberg} and \textit{M. Gromov}, Convex symplectic manifolds, Several complex variables and complex geometry, Proc. Summer Res. Inst., Santa Cruz/Ca (USA) 1989, Proc. Symp. Pure Math. 52, Part 2, 135-162 (1991; Zbl 0742.53010)]. The author studies the characteristic foliations on a surface \(S\) in a 3-dimensional contact manifold and presents a construction of convex contact structures in dimension 3.
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 57101
zbMATH Keywords: Morse function
zbMATH Keywords: characteristic foliations
zbMATH Keywords: convex contact structures
reviewed by: Vasile Oproiu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 57101