Invariant Submanifolds of (ε)-Sasakian Manifolds

被引：0

作者：

Prakasha, D. G. ^{[1
]}

Vanli, Aysel T. ^{[2
]}

Nagaraja, M. ^{[3
]}

Veeresha, P. ^{[4
]}

机构：

[1] Davangere Univ, Dept Math, Davangere 577007, India

[2] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey

[3] Tunga Mahavidhyalaya, Dept Math, Thirthahalli 577432, India

[4] Christ Univ, Dept Math, Bengaluru 560029, India

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2020年 / 47卷 / 02期

关键词：

(epsilon)-Sasakian manifold; Invariant submanifold; Recurrent submanifold; Einstein manifold;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider invariant submanifolds of an (epsilon)-Sasakian manifolds. We show that if the second fundamental form of an invariant submanifold of a (epsilon)-Sasakian manifold is recurrent then the submanifold is totally geodesic. We also prove that, invariant submanifolds of an Einstein (epsilon)-Sasakian manifolds satisfying the conditions (C) over tilde (X, Y) .sigma = 0 and (C) over tilde (X,Y). (del) over tilde sigma = 0 with epsilon r not equal n(n - 1) are also totally geodesic.

引用

页码：346 / 356

页数：11

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