摘要
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.
出处
《河南科学》
1996年第4期357-361,共5页
Henan Science
关键词
类空叶状结构
半黎曼空间形式
类空超曲面
Space like foliations\ Maximal\ Totally geodisic\ Normal plane field\ Semi Riemannian space form