Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space
Analysis of PDEs
2007-05-23 v1 Differential Geometry
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.
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Cite
@article{arxiv.math/0612659,
title = {Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space},
author = {Pierre Bayard and Oliver C. Schnürer},
journal= {arXiv preprint arXiv:math/0612659},
year = {2007}
}
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31 pages