【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.更多还原

【Abstract】 A contact metric manifold whose characteristic vector field belongs to a(k,μ)-nullity distribution 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.更多还原