An Integral Inequality on Compact Lorentz Manifolds, and its Applications

DOI10.1112/blms/28.5.509zbMath0855.53042OpenAlexW2010042168MaRDI QIDQ4893652

Alfonso Romero, Miguel Sánchez

Publication date: 18 September 1996

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/28.5.509

zbMATH Keywords

timelike Killing vector fieldBochner's techniqueEinstein-Lorentz manifoldsRicci-flat homogeneous Lorentz manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Integration on manifolds; measures on manifolds (58C35) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Hyperbolic equations on manifolds (58J45)

Related Items (10)

On the Ricci curvature of compact spacelike hypersurfaces in Einstein conformally stationary-closed spacetimes ⋮ Geodesic connectedness of affine manifolds ⋮ Timelike Killing vector fields on a timelike or lightlike complete Lorentzian manifold ⋮ Compact conformally stationary Lorentzian manifolds with no causal conjugate points ⋮ Lorentzian manifolds admitting a killing vector field ⋮ On the Einstein condition for Lorentzian 3-manifolds ⋮ The local geometry of compact homogeneous Lorentz spaces ⋮ Structure of Lorentzian tori with a killing vector field ⋮ Curvature and Killing vector fields on Lorentzian 3-manifolds ⋮ A Berger-Green type inequality for compact Lorentzian manifolds

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