Transitive isometry groups with non-compact isotropy
type: Item
instance of: scholarly article
title: Transitive isometry groups with non-compact isotropy
zbMATH Open document ID: 0659.57020
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let G be a connected Lie group acting effectively and transitively by isometries on a riemannian manifold M. Then G is a Lie subgroup of the full isometry group, which is not necessarily closed. In this paper we study the structure of the closure of G in I(M) and illustrate the results with examples, with non-compact isotropy, where the closure is described explicitly.
Mathematics Subject Classification ID: 57S20
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 4078286
zbMATH Keywords: connected Lie group acting effectively and transitively by isometries on a riemannian manifold
zbMATH Keywords: Lie subgroup of the full isometry group
zbMATH Keywords: closure
author: Isabel Dotti Miatello
author: R. J. Miatello
MaRDI profile type: Publication
full work available at URL: pjm.1988.131.167
OpenAlex ID: W2048172212
DOI: 10.2140/PJM.1988.131.167
description: scientific article; zbMATH DE number 4078286