article

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

Authors: Ben Andrews, Xuzhong Chen, Hanlong Fang and James McCoy

Issue: Volume 64 (2015), Issue 2, 635-662

Abstract:

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 solutions of the cross-curvature flow of negatively curved Riemannian metrics on three-manifolds.