Conformally flat Lorentz hypersurfaces.

DOI10.1016/S0393-0440(02)00177-8zbMath1035.53097MaRDI QIDQ1400160

Mohammed Guediri

Publication date: 13 August 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

shape operatorsisometric immersionsconformally flat manifolds\(B\)-scrollsgeneralized umbilical hypersurfacesLorentz hypersurfacesrelative nullities

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (4)

Conformally flat Lorentzian hypersurfaces in \(\mathbb R_1^4\) with three distinct principal curvatures ⋮ Semi-symmetric Lorentzian hypersurfaces in Lorentzian space forms ⋮ Semi-Riemannian hypersurfaces in \(\mathbb{L}^{n+1}\) with a totally geodesic foliation of codimension one ⋮ Conformally flat Lorentzian hypersurfaces in Lorentzian 4-space with special shape operator

Cites Work

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• Compact Conformally Flat Hypersurfaces
• Shape Operators of Einstein Hypersurfaces in Indefinite Space Forms
• Totally geodesic foliations

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