On scalar curvature in light-like geometry

DOI10.1016/j.geomphys.2006.04.001zbMath1107.53047OpenAlexW2042229193WikidataQ125306181 ScholiaQ125306181MaRDI QIDQ864248

Krishan Lal Duggal

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.04.001

zbMATH Keywords

scalar curvaturedegenerate metricRiemannian screen distribution

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Applications of local differential geometry to the sciences (53B50)

Related Items (16)

Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold ⋮ A review on unique existence theorems in lightlike geometry ⋮ Lightlike hypersurfaces and lightlike focal sets with respect to Bishop frame in 4-dimensional Minkowski Space E1-4. ⋮ A report on canonical null curves and screen distributions for lightlike geometry ⋮ Screen conformal invariant light-like hypersurfaces of indefinite Sasakian space forms ⋮ A classification of Einstein lightlike hypersurfaces of a Lorentzian space form ⋮ Singularities of focal surfaces of null Cartan curves in Minkowski 3-space ⋮ Gaussian surfaces and nullcone dual surfaces of null curves in a three-dimensional nullcone with index 2 ⋮ The Flow-geodesic Curvature and the Flow-evolute of Hyperbolic Plane Curves ⋮ Chen inequalities on lightlike hypersurfaces of a GRW spacetime ⋮ Topological structures of event horizons along framed null Cartan curves in Minkowski space ⋮ Lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature ⋮ Normalization and prescribed extrinsic scalar curvature on lightlike hypersurfaces ⋮ On canonical screen for lightlike submanifolds of codimension two ⋮ Null surfaces of null Cartan curves in Anti-de Sitter 3-space ⋮ On the sectional curvature of lightlike submanifolds

Cites Work

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• Indefinite Kähler manifolds
• The geometry of lightlike hypersurfaces of the de Sitter space
• Maximum principles for null hypersurfaces and null splitting theorems
• Constant scalar curvature and warped product globally null manifolds
• Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen

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