Expansion of co-compact convex spacelike hypersurfaces in Minkowski space by their curvature Ben AndrewsXinfu ChenHanlong FangJames McCoy 53C4435K9653C21Spacelike hypersurfaceCurvature flowCross curvature flow 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. Indiana University Mathematics Journal 2015 text pdf 10.1512/iumj.2015.64.5485 10.1512/iumj.2015.64.5485 en Indiana Univ. Math. J. 64 (2015) 635 - 662 state-of-the-art mathematics http://iumj.org/access/