SOME CLASSES OF INVARIANT SUBMANIFOLDS OF (LCS)(n)-MANIFOLDS

被引：0

作者：

Hui, S. K. ^{[1
]}

Mishra, Vishnu Narayan ^{[2
,3
]}

Pal, T. ^{[4
]}

Vandana ^{[5
]}

机构：

[1] Univ Burdwan Golapbag, Dept Math, Burdwan 713104, W Bengal, India

[2] L 1627 Awadh Puri Colony Beniganj,Phase 3, Faizabad 224001, Uttar Pradesh, India

[3] Indira Gandhi Natl Tribal Univ, Dept Math, Amarkantak 484887, Madhya Pradesh, India

[4] AMJ High Sch, Bankura 722144, W Bengal, India

[5] Indian Inst Technol, Dept Management Studies, Madras 600036, Tamil Nadu, India

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2018年 / 39期

关键词：

(LCS)(n)-manifold; invariant submanifold; pseudo parallel submanifold; Ricci generalized pseudo parallel submanifold; eta-parallel submanifold; totally geodesic;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of the present paper is to study the pseudoparallel, Ricci generalized pseudoparallel and eta-parallel invariant submanifolds of (LCS)(n)-manifolds and we obtained some equivalent conditions of invariant submanifolds of (LCS)(n)-manifolds under which the submanifolds are totally geodesic. Among others we found the necessary and sufficient condition of the second fundamental form to be eta-parallel in an invariant submanifold of a (LCS)(n)-manifold. Finally an example of invariant submanifold of (LCS)(5)-manifold is constructed.

引用

页码：359 / 372

页数：14

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