On some geometric properties of CR-submanifolds of a Sasakian manifold

被引：2
|
作者：
Dirik, Suleyman [1 ]
机构：
[1] Amasya Univ, Fac Arts & Sci, Dept Stat, TR-05000 Amasya, Turkey
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 154卷
关键词：
Sasakian manifold; CR-submanifold; Contact CR-submanifold; WARPED PRODUCT SUBMANIFOLDS;
D O I：
10.1016/j.geomphys.2020.103639
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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-perpendicular to and mixed totally geodesic in a Sasakian manifold. (C) 2020 Elsevier B.V. All rights reserved.
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