Extrinsic symmetric spaces and orbits of \(s\)-representations
type: Item
instance of: scholarly article
title: Extrinsic symmetric spaces and orbits of \(s\)-representations
zbMATH Open document ID: 0857.53033
DOI: 10.1007/BF02567838
author: J.-H. Eschenburg
author: Ernst Heintze
published in: Manuscripta Mathematica
publication date: 1997-03-09T00:00:00Z
full work available at URL: https://eudml.org/doc/156143
review text: The authors give a short and elegant new proof of the reviewer's theorem classifying the extrinsic symmetric submanifolds of spheres as the orbits of \(s\)-representations. They also clarify the relations to [\textit{J. Dadok}, Trans. Am. Math. Soc. 288, 125-137 (1985; Zbl 0565.22010)].
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 866143
zbMATH Keywords: \(R\)-space
zbMATH Keywords: polar representation
zbMATH Keywords: extrinsic symmetric submanifolds of spheres
zbMATH Keywords: orbits of \(s\)-representations
reviewed by: Dirk Ferus
MaRDI profile type: Publication
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cites work: Symmetric submanifolds of Riemannian manifolds
description: scientific article; zbMATH DE number 866143