Reduction of volume-preserving flows on an \(n\)-dimensional manifold
type: Item
instance of: scholarly article
title: Reduction of volume-preserving flows on an \(n\)-dimensional manifold
zbMATH Open document ID: 1032.37016
author: Yongai Zheng
author: Debin Huang
author: Zengrong Liu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2004-02-04T00:00:00Z
review text: Reduction of volume-preserving flows with volume-preserving symmetry on an \(n\)-dimensional manifold is obtained by using a geometric approach. It is shown that a volume-preserving flow which admits an \(r\)-parameter volume-preserving commutable symmetry on an \(n\)-dimensional manifold can be reduced to a volume-preserving flow on the corresponding \((n-r)\)-dimensional volume form. One example taken from the literature is re-done via this geometric approach. It would have been nice, though, to have seen an original example included.
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37D40
zbMATH DE Number: 1916601
zbMATH Keywords: geometric approach
zbMATH Keywords: volume-preserving flows
zbMATH Keywords: symmetry
MaRDI profile type: Publication
full work available at URL: s10255-003-0089-z
OpenAlex ID: W2000538899
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DOI: 10.1007/S10255-003-0089-Z
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description: scientific article; zbMATH DE number 1916601