Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature

Pierre Bayard; Philippe Delanoë

Displaying similar documents to “Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature”

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Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.

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Minimizing movements for dislocation dynamics with a mean curvature term

Nicolas Forcadel, Aurélien Monteillet (2009)

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We prove existence of minimizing movements for the dislocation dynamics evolution law of a propagating front, in which the normal velocity of the front is the sum of a non-local term and a mean curvature term. We prove that any such minimizing movement is a weak solution of this evolution law, in a sense related to viscosity solutions of the corresponding level-set equation. We also prove the consistency of this approach, by showing that any minimizing movement coincides with the smooth...

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Barbara Nelli, Harold Rosenberg (1997)

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We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic $n$ -dimensional space and we obtain removable singularities theorems.

Uniqueness results for the Minkowski problem extended to hedgehogs

Yves Martinez-Maure (2012)

Open Mathematics

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The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended Minkowski problem is much more difficult since it essentially boils down to the question of solutions of certain Monge-Ampère equations of mixed type on the unit sphere $𝕊^{n}$ of ℝn+1. In this paper, we mainly consider the uniqueness question and give first results.