Homogeneous spaces with polar isotropy
type: Item
instance of: scholarly article
title: Homogeneous spaces with polar isotropy
zbMATH Open document ID: 1048.53035
author: Andreas Kollross
author: Fabio Podestà
published in: Manuscripta Mathematica
publication date: 2003-07-02T00:00:00Z
review text: The action of a compact connected Lie group \(G\) on a Riemannian manifold is polar if there exists a connected submanifold which intersects the \(G\)-orbits orthogonally and meets every orbit. This paper classifies homogeneous spaces of a simple compact Lie group \(G\) such that the natural \(G\)-action is polar with respect to an invariant metric. This is a generalization of the classification of two point homogeneous compact spaces.
reviewed by: Lizhen Ji
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 57S15
zbMATH DE Number: 1945288
zbMATH Keywords: homogeneous spaces
zbMATH Keywords: polar action
zbMATH Keywords: compact Lie group
MaRDI profile type: Publication
full work available at URL: s00229-002-0345-1
OpenAlex ID: W2064455651
DOI: 10.1007/S00229-002-0345-1
description: scientific article; zbMATH DE number 1945288