A classification of Einstein lightlike hypersurfaces of a Lorentzian space form

DOI10.1016/J.GEOMPHYS.2010.07.005zbMath1207.53064OpenAlexW2020971778MaRDI QIDQ608305

Krishan Lal Duggal, Dae Ho Jin

Publication date: 25 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.07.005

zbMATH Keywords

Einstein manifoldsscreen distributionLorentzian space formslightlike hypersurfaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (8)

Darboux vector in four-dimensional space-time ⋮ Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time ⋮ Lightlike hypersurfaces of a Golden semi-Riemannian manifold ⋮ Screen conformal lightlike hypersurfaces of an indefinite cosymplectic manifold ⋮ Unnamed Item ⋮ Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold ⋮ Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature ⋮ Geometry of null hypersurfaces in Lorentzian space forms

Cites Work

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• On scalar curvature in light-like geometry
• A report on canonical null curves and screen distributions for lightlike geometry
• Warped product of lightlike manifolds.
• Light-like Einstein hypersurfaces in Lorentzian manifolds with constant curvature
• On Closed Spaces of Constant Mean Curvature

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