A geometrical interpretation of the null sectional curvature

DOI10.1016/j.geomphys.2009.11.002zbMath1185.53019OpenAlexW1978997042MaRDI QIDQ2268975

Alma L. Albujer, Stefan Haesen

Publication date: 15 March 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.2009.11.002

zbMATH Keywords

null sectional curvatureRobertson-Walker manifoldsquaroids

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds ⋮ Unnamed Item ⋮ On null submanifolds of generalized Robertson–Walker space forms

Cites Work

• Properties of a scalar curvature invariant depending on two planes
• On quasi-Einstein Cartan type hypersurfaces
• Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space
• Null congruence spacetimes constructed from 3-dimensional Robertson-Walker spaces
• A characterization of Robertson-Walker spaces by null sectional curvature
• Infinitesimale Charakterisierung von Friedmann-Universen
• On sectional curvature of indefinite metrics. II
• The fibre bundle of degenerate tangent planes of a Lorentzian manifold and the smoothness of the null sectional curvature
• A Berger-Green type inequality for compact Lorentzian manifolds
• Infinitesimal null isotropy and Robertson–Walker metrics
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