The homotopy class of non-singular Morse-Smale vector fields on 3- manifolds
type: Item
instance of: scholarly article
title: The homotopy class of non-singular Morse-Smale vector fields on 3- manifolds
zbMATH Open document ID: 0622.58018
DOI: 10.1007/BF01388724
author: Koichi Yano
published in: Inventiones Mathematicae
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143238
review text: Let M be a 3-manifold with Euler characteristic zero. Denote by F(M) the set of homotopy classes of nonsingular vector fields on M. The author studies the problem of the existence of non-singular Morse Smale (NMS) flows in a given homotopy class. For M being a graph manifold prime to \(S^ 1\times S^ 2\) necessary and sufficient conditions are given under which a class \(\Phi\in F(M)\) contains an NMS flow (theorem 1). An analogous result is obtained for a non-graph manifold M supposing M admits an NMS flow (theorem 2).
Mathematics Subject Classification ID: 37D15
zbMATH DE Number: 4009376
zbMATH Keywords: Morse-Smale flows
zbMATH Keywords: Euler characteristic zero
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4009376