Hypersurfaces of two space forms and conformally flat hypersurfaces

DOI10.1007/S10231-017-0665-0zbMath1410.53021arXiv1508.02628OpenAlexW2963761092WikidataQ125908281 ScholiaQ125908281MaRDI QIDQ681676

Ruy Tojeiro, Samuel Canevari

Publication date: 13 February 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02628

zbMATH Keywords

principal curvatureconformally flat hypersurfacesholonomic hypersurfaceshypersurfaces of space forms

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (10)

Generic conformally flat hypersurfaces and surfaces in 3-sphere ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb{R}_1^4\) with a pair of complex conjugate principal curvatures ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb R_1^4\) with three distinct principal curvatures ⋮ The complete classification of a class of conformally flat Lorentzian hypersurfaces in ℝ14 ⋮ A duality for Guichard nets ⋮ Hypersurfaces of two space forms and conformally flat hypersurfaces ⋮ The Ribaucour transformation for hypersurfaces of two space forms and conformally flat hypersurfaces ⋮ Conformally flat hypersurfaces with constant scalar curvature ⋮ Minimal conformally flat hypersurfaces ⋮ Conformally flat Lorentzian hypersurfaces in Lorentzian 4-space with special shape operator

Cites Work

• Hypersurfaces of two space forms and conformally flat hypersurfaces
• On compositions of isometric immersions
• Submanifolds of constant positive curvature. I
• On conformally flat hypersurfaces and Guichard's nets
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Riemannian Metrics Induced by Two Immersions

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