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

Nülifer Özdemir, Şirin Aktay and Mehmet Solgun
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Nülifer Özdemir: Department of Mathematics, Eskişehir Technical University, Eskişehir 26555, Turkey
Şirin Aktay: Department of Mathematics, Eskişehir Technical University, Eskişehir 26555, Turkey
Mehmet Solgun: Department of Mathematics, Bilecik Şeyh Edebali University, Bilecik 11230, Turkey

Mathematics, 2019, vol. 7, issue 2, 1-11

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.

Keywords: Riemannian manifolds; almost contact metric structure; D-conformal deformation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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