Abstract In this paper, we study the geometry of the contact CR-submanifolds of a Sasakian manifold. By searching the parallelism conditions of the tensors reduced in the submanifolds, some properties and results obtained from the definition of the contact CR-submanifolds are given. Also, necessary and sufficient conditions are given for a submanifold to be a contact CR-submanifold, contact CR-product, D , D ⊥ and mixed totally geodesic in a Sasakian manifold.

中文翻译：

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关于 Sasakian 流形的 CR 子流形的一些几何性质

摘要 在本文中，我们研究了 Sasakian 流形的接触 CR 子流形的几何形状。通过搜索子流形中约简张量的平行条件，给出了接触CR-子流形定义的一些性质和结果。此外，给出了子流形是接触 CR-子流形、接触 CR-积、D 、D ⊥ 和 Sasakian 流形中的混合完全测地线的充分必要条件。