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.
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收藏
页数：11
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