Isometric deformations of compact Euclidean submanifolds in codimension 2
type: Item
instance of: scholarly article
title: Isometric deformations of compact Euclidean submanifolds in codimension 2
zbMATH Open document ID: 0857.53005
DOI: 10.1215/S0012-7094-95-07915-0
author: Marcos Dajczer
author: Detlef Gromoll
published in: Duke Mathematical Journal
publication date: 1996-05-14T00:00:00Z
review text: Let \(M^n\) be a compact Riemannian manifold, immersed in \(\mathbb{R}^{n+2}\). The authors prove that any isometric deformation of the immersion is almost everywhere induced by isometric deformation of hypersurfaces. As a consequence, a rigidity theorem for codimension 2 Euclidean submanifolds is derived in terms of intrinsic curvature conditions.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 878409
zbMATH Keywords: submanifolds of codimension 2
zbMATH Keywords: Sbrana-Cartan hypersurfaces
zbMATH Keywords: isometric deformation
zbMATH Keywords: rigidity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 878409