paper

Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space

arXiv:math/0612659

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.

31 pages

Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space · wovepaper