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
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10.1512/iumj.2015.64.5485
10.1512/iumj.2015.64.5485
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Indiana Univ. Math. J. 64 (2015) 635 - 662
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