半黎曼空间形式的极大类空叶状结构

MAXIMAL SPACE LIKE FOLIATIONS ON A SEMI RIEMANNIAN SPACE FORM

设Ｆ是半黎曼空间形式Ｎｎ＋ｐｐ（ｃ）上的余维ｐ的极大类空叶状结构，如果标准度量是类丛的，则ｃ≥０，如果Ｆ的叶子还是完备的。

This paper is to prove:Let Fbe a maximal space like foliation of codimension p on a semi Riemannian space form N n+p p(c). If the standard metric is bundle like, then c≥0 . Moreover, if lives of F are complete, then F is totally geodesic foliation.