论文标题
广义f.pk空间形式和广义f.pk空间形式的超曲面上的二阶平行张量
Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form
论文作者
论文摘要
本文以广义f.pk空间形式研究二阶对称平行张量的目的。二阶对称平行张量以F.PK空间形式是相关的度量张量和$ 1 $的结构向量场的组合。我们证明，以F.PK空间形式不存在二阶偏斜平行张量。我们还推断出，在广义的F.PK空间形式中没有平行的超曲面，但是在广义的F.PK空间形式中有半平行的Hypersurface。
The purpose of the present paper to study a second order symmetric parallel tensor in generalized f.pk-space form. Second order symmetric parallel tensor in f.pk-space form is combination of the associated metric tensor and $1$-forms of structure vector fields. We prove that there does not exist second order skew-symmetric parallel tensor in f.pk-space form. We also deduce that there is no parallel hypersurface in a generalized f.pk-space form but there is semi-parallel hypersurfaces in a generalized f.pk-space form.
