东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2006年
3期
253-259
,共7页
pseudo-Riemannian spacetime%maximal space-like submanifold%totally umbilical
This paper concerns space-like submanifolds in a pseudo-Riemannian space-time Spm+p () Epm+p+1 (p≥1), and proves that connected compact maximal space-like submanifolds in a pseudo-Riemannian spacetime Spm+p () Epm+p+1 (p≥1) must be totally umbilical, and also totally geodesic. Particularly, when p= 1, our result is just Montiel's in case of H=0.
