Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field

DOI10.1007/BF01406822zbMath0824.53063OpenAlexW2093752377MaRDI QIDQ1346995

Pascual Lucas, Angel Ferrández, Luis J. Alías

Publication date: 30 March 1995

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

Full work available at URL: https://doi.org/10.1007/bf01406822

zbMATH Keywords

shape operatorLorentzian space formtotally umbilical hypersurface\(B\)-scroll

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 (3)

Ruled surfaces with null curves and Frenet frame in pseudo-sphere and pseudo-hyperbolic space ⋮ Surfaces in non-flat 3-space forms satisfying \(\square \vec{\mathbf{H}}=\lambda \vec{\mathbf{H}}\) ⋮ On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms

Cites Work

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• Isometric immersions of Lorentz space with parallel second fundamental forms
• Null finite type hypersurfaces in space forms
• Classifying hypersurfaces in the Lorentz-Minkowski space with a characteristic eigenvector
• Lorentzian isoparametric hypersurfaces
• BIHARMONIC SURFACES IN PSEUDO-EUCLIDEAN SPACES

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