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Local canonical foliations of Lorentzian manifolds with bounded curvature

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 نشر من قبل Philippe G. LeFloch
 تاريخ النشر 2008
  مجال البحث فيزياء
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We 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.



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