A canonical connection for Lie group actions
type: Item
instance of: scholarly article
title: A canonical connection for Lie group actions
zbMATH Open document ID: 0834.53037
DOI: 10.1007/BF03322274
published in: Results in Mathematics
publication date: 1996-04-17T00:00:00Z
review text: An \(n\)-dimensional Riemannian manifold \(M\) is said to be of cohomogeneity one if it admits a Lie group of isometries with \((n - 1)\) as the maximal dimension of orbits. Extending to such manifolds the classical construction of the Ambrose-Singer connection of homogeneous Riemannian manifolds, the author gives necessary and sufficient conditions for \(M\) to be of cohomogeneity one.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 785201
zbMATH Keywords: \(G\)-manifold
zbMATH Keywords: Killing vector field
zbMATH Keywords: cohomogeneity one Riemannian manifold
Wikidata QID: Q115390788
author: Fabio Podestà
reviewed by: François Rouvière
MaRDI profile type: Publication
cites work: Q5289137
cites work: Q4370979
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cites work: On local and global existence of Killing vector-fields
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cites work: A General Theory of Canonical Forms
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full work available at URL: https://doi.org/10.1007/bf03322274
OpenAlex ID: W2057260311
description: scientific article; zbMATH DE number 785201