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

Authors

Ben H. Andrews, Australian National UniversityFollow
Xuzhong Chen, Hunan University
Hanlong Fang, Rutgers University
James A. McCoy, University of WollongongFollow

RIS ID

88665

Publication Details

Andrews, B., Chen, X., Fang, H. & McCoy, J. (2015). Expansion of co-compact convex spacelike hypersurfaces in Minkowski space by their curvature. Indiana University Mathematics Journal, 64 (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 solution of the cross-curvature ow of negatively curved Riemannian metrics on three-manifolds.

Grant Number

ARC/DP120100097