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.

引用

页数：15

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