HYPERSURFACES OF MINKOWSKI SPACE WITH CONSTANT MEAN CURVATURE

摘要

Let M~n be a compact hypersurface of Minkowski space (V~(n+1),F) with parallel unit normal vector and constant mean curvature H. la this paper, we prove that if the norm square S of the second funda-2 n2H~2 mental form of M satisfies S ≤ n~2H~2-1, then M is either an Euclidean sphere (H ≠ 0) or a locally Minkowski space {H = 0).