Local canonical foliations of Lorentzian manifolds with bounded curvature

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dc.creatorLeFloch, Philippe G.
dc.date2008-12-20
dc.date.accessioned2026-07-07T12:21:36Z
dc.date.available2026-07-07T12:21:36Z
dc.descriptionWe consider pointed Lorentzian manifolds and construct "canonical" foliations by constant mean curvature (CMC) hypersurfaces. Our result assumes a uniform bound on the local sup-norm of the curvature of the manifold and on its local injectivity radius, only. The prescribed curvature problem under consideration is a nonlinear elliptic equation whose coefficients have limited regularity. The CMC foliation allows us to introduce CMC-harmonic coordinates, in which the coefficients of the Lorentzian metric have optimal regularity.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0812.3960
dc.identifierhttp://arxiv.org/abs/0812.3960
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213388
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAnalysis of PDEs
dc.titleLocal canonical foliations of Lorentzian manifolds with bounded curvature
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