Relative Lorentzian volume comparison with integral Ricci and scalar curvature bound

DOI10.1016/j.geomphys.2011.02.005zbMath1217.53074OpenAlexW1992728315WikidataQ125998089 ScholiaQ125998089MaRDI QIDQ533427

Jong Ryul Kim

Publication date: 3 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.02.005

zbMATH Keywords

mean curvature\(H\)-Jacobi tensorglobally hyperbolic space-timeRaychuduri equationrelative volume comparison

Mathematics Subject Classification ID

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

Related Items

Volume comparison theorems in Finsler spacetimes ⋮ Universal curvature identities. II. ⋮ Unnamed Item

Cites Work

• Volume comparison for Lorentzian warped products with integral curvature bounds
• On conjugate and focal points in semi-Riemannian geometry
• Jacobi tensors and Ricci curvature
• Volume comparison theorems for Lorentzian manifolds
• Relative volume comparison with integral curvature bounds
• Integral curvature bounds, distance estimates and applications
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