Isometric rigidity in codimension 2

DOI10.1307/mmj/1260475699zbMath1184.53060arXiv0903.5528OpenAlexW2022810069MaRDI QIDQ846232

Pedro Morais, Marcos Dajczer

Publication date: 2 February 2010

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.5528

zbMATH Keywords

second fundamental formrigidityelliptic submanifoldsnonruled parabolic submanifoldsSbrana-Cartan hypersurface

Mathematics Subject Classification ID

Global submanifolds (53C40) Rigidity results (53C24)

Related Items (5)

Classification of rank-one submanifolds ⋮ Euclidean hypersurfaces with genuine deformations in codimension two ⋮ Euclidean hypersurfaces with genuine conformal deformations in codimension two ⋮ The relative nullity of complex submanifolds and the Gauss map ⋮ The associated family of an elliptic surface and an application to minimal submanifolds

Cites Work

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• Rigidity of complete Euclidean hypersurfaces
• Submanifolds of constant positive curvature. I
• On deformable hypersurfaces in space forms
• Genuine deformations and submanifolds
• Genuine rigidity of Euclidean submanifolds in codimension two
• Isometric deformations of compact Euclidean submanifolds in codimension 2
• Conformal Rigidity
• Rigidity for Spaces of Class Greater Than One

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