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Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space
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Pierre Bayard
Veröffentlicht/Copyright:
8. Januar 2009
Abstract
We prove existence and stability of smooth entire strictly convex spacelike hypersurfaces of prescribed Gauß curvature in Minkowski space. The proof is based on barrier constructions and local a priori estimates.
Received: 2007-04-20
Published Online: 2009-01-08
Published in Print: 2009-February
© Walter de Gruyter Berlin · New York 2009
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Artikel in diesem Heft
- Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space
- On the growth of nonuniform lattices in pinched negatively curved manifolds
- Extended Picard complexes and linear algebraic groups
- Birationality of étale maps via surgery
- Heights and metrics with logarithmic singularities
- Fredholm realizations of elliptic symbols on manifolds with boundary
- Correspondences with split polynomial equations
- A parabolic free boundary problem with Bernoulli type condition on the free boundary
Artikel in diesem Heft
- Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space
- On the growth of nonuniform lattices in pinched negatively curved manifolds
- Extended Picard complexes and linear algebraic groups
- Birationality of étale maps via surgery
- Heights and metrics with logarithmic singularities
- Fredholm realizations of elliptic symbols on manifolds with boundary
- Correspondences with split polynomial equations
- A parabolic free boundary problem with Bernoulli type condition on the free boundary
