摘要
特征矢量场满足一(k,μ)零分布条件的切触度量流形称为切触度量(k,μ)空间.考察非Sasakian切触度量(k,μ)空间中子流形,证明了它的每个子流形必是切触CR子流形.同时还研究了其切触全脐子流形,证明了它的每个切触全脐超曲面是具有3个不同常主曲率的极小浸入.
A contact metric manifold whose characteristic vector field belongs to a （ k,μ） - nullity distribu- tion is called a contact metric （ k,μ） - space. Submanifolds of a non - Sasakian （ k,μ） - space are investigated and it is shown that each submanifold in a non - Sasakian （k,μ） - space must be a contact CR submanifold. At the same time, totally contact umbilical submanifolds are also studied and especially, every totally contact umbillical hypersurface in a non - Sasakian （ k,μ ） - space is proved to be a minimal immersion with three distinct constant principal curvatures.
出处
《湖北大学学报（自然科学版）》
CAS
北大核心
2006年第3期230-234,共5页
Journal of Hubei University：Natural Science
基金
国家自然科学基金(10501011)
数学天元青年基金(A0324608)资助项目
