A pinching theorem for extrinsically symmetric submanifolds of Euclidean space
type: Item
instance of: scholarly article
title: A pinching theorem for extrinsically symmetric submanifolds of Euclidean space
zbMATH Open document ID: 1073.53011
author: Peter Quast
published in: Manuscripta Mathematica
publication date: 2005-02-02T00:00:00Z
full work available at URL: 229 2004 Article 501.pdf
review text: The main result of the paper states that if a compact connected Riemannian manifold is immersed into a Euclidean space with almost parallel second fundamental form then it admits an extrinsically symmetric immersion into this space.
reviewed by: Kaarin Riives
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 2132121
zbMATH Keywords: extrinsically symmetric submanifolds
zbMATH Keywords: pinching theorem
zbMATH Keywords: rigidity
zbMATH Keywords: immersions
MaRDI profile type: Publication
OpenAlex ID: W1999482750
cites work: Extrinsic symmetric spaces and orbits of \(s\)-representations
cites work: Symmetric submanifolds of Euclidean space
cites work: Q3723246
cites work: A pinching problem for locally homogeneous spaces
cites work: Q3349514
cites work: Symmetric submanifolds of Riemannian manifolds
DOI: 10.1007/S00229-004-0501-X
description: scientific article; zbMATH DE number 2132121