Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature

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dc.creatorLeFloch, Philippe G.
dc.date2008-12-14
dc.date.accessioned2026-07-07T12:20:38Z
dc.date.available2026-07-07T12:20:38Z
dc.descriptionWe review recent work on the local geometry and optimal regularity of Lorentzian manifolds with bounded curvature. Our main results provide an estimate of the injectivity radius of an observer, and a local canonical foliations by CMC (Constant Mean Curvature) hypersurfaces, together with spatially harmonic coordinates. In contrast with earlier results based on a global bound for derivatives of the curvature, our method requires only a sup-norm bound on the curvature near the given observer.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0812.2671
dc.identifierhttp://arxiv.org/abs/0812.2671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213118
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleInjectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature
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