Curvature properties of geodesic celestial spheres in Lorentzian geometry

DOI10.1016/j.na.2004.09.030zbMath1159.53340OpenAlexW1973244268MaRDI QIDQ999544

Eduardo García-Río, José Carlos Díaz-Ramos

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.030

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Volume comparison theorems for Lorentzian manifolds
• Comparison and rigidity theorems in semi-Riemannian geometry
• Some semi-Riemannian volume comparison theorems
• Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds
• Total curvatures of geodesic spheres associated to quadratic curvature invariants
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Curvature invariants, differential operators and local homogeneity
• Differential geometry of geodesic spheres.
• General relativity and cosmology
• CURVATURE TENSORS WHOSE JACOBI OR SZABÓ OPERATOR IS NILPOTENT ON NULL VECTORS