TOTALLY AND C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN MANIFOLDS AND SASAKIAN SPACE FORMS

被引：0
|
作者：
Karmakar, Payel [1 ]
Bhattacharyya, Arindam [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 3B期
关键词：
Totally real submanifold; C-totally real submanifold; Sasakian manifold; Sasakian space form; quarter symmetric metric connection;
D O I：
10.47013/15.3.12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study totally real submanifolds of Sasakian manifolds. Also, we study totally and C-totally real submanifolds of Sasakian space forms with respect to Levi-Civita connection as well as quarter symmetric metric connection. We have obtained some results in this regard. Among these results, we have made an important deduction that the scalar curvatures of a C-totally real submanifold of a Sasakian space form with respect to both the aforesaid connections are the same.
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页码：575 / 589
页数：15
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