Exact classification of nondegenerate divergence-free vector fields on surfaces of small genus
type: Item
instance of: scholarly article
title: Exact classification of nondegenerate divergence-free vector fields on surfaces of small genus
zbMATH Open document ID: 0967.37013
DOI: 10.1007/BF02675069
author: Boris Kruglikov
published in: Mathematical Notes
publication date: 2001-04-01T00:00:00Z
review text: The paper deals with the classification up to conjugation in \(C^k\), \(k = 1,\dots,\infty,\) of complete nondegenerate divergence-free vector fields on compact connected two-dimensional manifolds (possibly with boundary) almost all of whose trajectories are closed. The author solves the problem of classification up to conjugation for nondegenerate divergence-free vector fields on the sphere, the projective plane, the Klein bottle, the torus, and the torus with Möbius band pasted in, possibly with several disks removed.
Mathematics Subject Classification ID: 37C15
Mathematics Subject Classification ID: 37E35
zbMATH DE Number: 1470968
zbMATH Keywords: vector field on surface
zbMATH Keywords: classification
reviewed by: Victor I. Tkachenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1470968