Entire Spacelike Hypersurfaces With Constant Higher Order Mean Curvature In Rn,1

In this paper we are concerned with a class of special entire spacelike hypersurfaces Mn with constant higher order mean curvature in Minkowski space Rn;1. In chapter one, we give necessary preliminaries that contain concept on higher order mean curva-ture and Gauss map in Rn,1 and equation theory. In chapter two, first, we obtain that spacelike hypersurfaces Mn with constant higher order mean curvature are entire spacelike hypersurfaces when c≤(n-m/n)n/mm/n-m,a≥ac,second, we prove that the entire spacelike hypersurfaces Mn with constant higher order mean curvature in Rn,1 are complete Rie-mannian manifold with respect to the induced metric from Rn;1, their principal curvatures are uniformly bounded, and they have three kinds of Gauss mapping images.