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Mathematics 2019, 7(2), 168; https://doi.org/10.3390/math7020168

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

1,†
,
1,†
and
2,*,†
1
Department of Mathematics, Eskişehir Technical University, Eskişehir 26555, Turkey
2
Department of Mathematics, Bilecik Şeyh Edebali University, Bilecik 11230, Turkey
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 20 December 2018 / Revised: 24 January 2019 / Accepted: 5 February 2019 / Published: 13 February 2019
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Abstract

In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and β -Kenmotsu manifolds. The new Levi–Civita covariant derivative of the new metric corresponding to deformed nearly K-cosymplectic, quasi-Sasakian and β -Kenmotsu manifolds are obtained. Under some restrictions, deformed nearly K-cosymplectic, quasi-Sasakian and β -Kenmotsu manifolds are obtained. Then, the scalar curvature of these three classes of deformed manifolds are analyzed. View Full-Text
Keywords: Riemannian manifolds; almost contact metric structure; D-conformal deformation Riemannian manifolds; almost contact metric structure; D-conformal deformation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Özdemir, N.; Aktay, Ş.; Solgun, M. On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds. Mathematics 2019, 7, 168.

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