Einstein submanifolds with flat normal bundle in space forms are holonomic

DOI10.1090/proc/14057zbMath1402.53014arXiv1712.05462OpenAlexW2963959757MaRDI QIDQ4577178

Marcos Dajczer, Christos-Raent Onti, Theodoros Vlachos

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05462

zbMATH Keywords

flat normal bundleEinstein submanifoldsholonomic submanifoldsprincipal normals.

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (3)

Conformally flat submanifolds with flat normal bundle ⋮ Einstein hypersurfaces of \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\) ⋮ A class of Einstein submanifolds of Euclidean space

Cites Work

• Reducibility of Dupin submanifolds
• Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung
• Submanifolds of constant positive curvature. I
• AN EXTENSION OF THE CLASSICAL RIBAUCOUR TRANSFORMATION
• The vectorial Ribaucour transformation for submanifolds and applications

This page was built for publication: Einstein submanifolds with flat normal bundle in space forms are holonomic