Expansion of co-compact convex spacelike hypersurfaces in Minkowski space by their curvature

We consider the expansion of co-compact convex hypersurfaces in Minkowski space by functions of their curvature, and prove under quite general conditions that solutions are asymptotic to the self-similar expanding hyperboloid. In particular this implies a convergence result for a class of special solution of the cross-curvature ow of negatively curved Riemannian metrics on three-manifolds.