A NOTE ON EINSTEIN-LIKE PARA-KENMOTSU MANIFOLDS

被引：0

作者：

Prasad, Rajendra ^{[1
]}

Verma, Sandeep Kumar ^{[1
]}

Kumar, Sumeet ^{[1
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, UP, India

来源：

HONAM MATHEMATICAL JOURNAL | 2019年 / 41卷 / 04期

关键词：

Para-Kenmotsu manifolds; Einstein-like manifolds; Hypersurfaces;

D O I：

10.5831/HMJ.2019.41.4.669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of this paper is to introduce and study Einstein-like para-Kenmotsu manifolds. For a para-Kenmotsu manifold to be Einstein-like, a necessary and sufficient condition in terms of its curvature tensor is obtained. We also obtain the scalar curvature of an Einstein-like para-Kenmotsu manifold. A necessary and sufficient condition for an almost para-contact metric hypersurface of a locally product Riemannian manifold to be para-Kenmotsu is derived and it is shown that the para-Kenmotsu hypersurface of a locally product Riemannian manifold of almost constant curvature is always Einstein.

引用

页码：669 / 682

页数：14