On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds

被引：5

作者：

Ozdemir, Nulifer ^{[1
]}

Aktay, Sirin ^{[1
]}

Solgun, Mehmet ^{[2
]}

机构：

[1] Eskisehir Tech Univ, Dept Math, TR-26555 Eskisehir, Turkey

[2] Bilecik Seyh Edebali Univ, Dept Math, TR-11230 Bilecik, Turkey

来源：

MATHEMATICS | 2019年 / 7卷 / 02期

关键词：

Riemannian manifolds; almost contact metric structure; D-conformal deformation;

D O I：

10.3390/math7020168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds. The new Levi-Civita covariant derivative of the new metric corresponding to deformed nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds are obtained. Under some restrictions, deformed nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds are obtained. Then, the scalar curvature of these three classes of deformed manifolds are analyzed.

引用

页数：11

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