Certain invariant submanifolds of generalized Sasakian-space-forms

被引:0
|
作者
Sarkar, Avijit [1 ]
Biswas, Nirmal [1 ]
机构
[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India
关键词
Submanifolds; Invariant submanifolds; Generalized Sasakian-space-forms; Pseudo-parallel; Generalized Ricci pseudo-parallel;
D O I
10.1007/s13370-022-01002-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we initiate the study of invariant submanifolds of generalized Sasakianspace-forms with K-contact metric. We consider pseudo-parallel and generalized Ricci pseudo-parallel invariant submanifolds of generalized Sasakian-space-forms. Also we characterize invariant submanifolds whose second fundamental form satisfies some restrictions with respect to concircular curvature tensor of the ambient manifold. Finally, we give some examples of invariant submanifolds of generalized Sasakian-space-forms to verify our results.
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收藏
页数:11
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