Some characterizations of anti-invariant submanifolds of trans-sasakian manifolds

被引：0
|
作者：
Sarkar, A. [1 ]
Bhakta, Pradip [1 ]
Sen, Matilal [2 ]
机构：
[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India
[2] Saldiha Coll Saldiha, Dept Math, Bankura 722173, W Bengal, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 09期
关键词：
Trans-Sasakian manifolds; second fundamental form; recurrent; anti-invariant submanifold; totally geodesic; totally umbilical; LEGENDRE CURVES; CONTACT;
D O I：
10.1142/S1793557121501679
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The object of this paper is to study anti-invariant submanifolds of trans-Sasakian manifolds. We characterize such submanifolds on the basis of parallelism, semi-parallelism and pseudo parallelism of the second fundamental form of the submanifolds. We also characterize totally umbilical anti-invariant submanifolds of trans-Sasakian manifolds. Existence of Legendre curves on such submanifolds has been analyzed. Whether an anti-invariant submanifold of a trans-Sasakian manifold inherits local symmetry from ambient space is investigated here. Nature of Ricci soliton on anti-invariant submanifolds of trans-Sasakian manifolds has been characterized.
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页数：15
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