Conditions on a null hypersurface of a Lorentzian manifold to be a null cone

DOI10.1016/j.geomphys.2019.06.020zbMath1427.53087OpenAlexW2953840965WikidataQ126020910 ScholiaQ126020910MaRDI QIDQ2331491

Manuel Gutiérrez, Benjamin Olea

Publication date: 29 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2019.06.020

zbMATH Keywords

null hypersurfacesnull conerigged metricrigged vector fieldrigging technique

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Conformal vector fields and null hypersurfaces ⋮ Statistical structures arising in null submanifolds ⋮ A curvature inequality characterizing totally geodesic null hypersurfaces ⋮ On the regularity of null cones and geodesic spheres ⋮ Codimension two spacelike submanifolds through a null hypersurface in a Lorentzian manifold ⋮ Characterization of null cones under a Ricci curvature condition ⋮ Null hypersurfaces and the rigged metric

Cites Work

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• Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces
• Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space
• On some methods of construction of invariant normalizations of lightlike hypersurfaces
• Induced Riemannian structures on null hypersurfaces
• The Existence of Complete Riemannian Metrics

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