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

Author

Listed:
  • Nülifer Özdemir

    (Department of Mathematics, Eskişehir Technical University, Eskişehir 26555, Turkey
    These authors contributed equally to this work.)

  • Şirin Aktay

    (Department of Mathematics, Eskişehir Technical University, Eskişehir 26555, Turkey
    These authors contributed equally to this work.)

  • Mehmet Solgun

    (Department of Mathematics, Bilecik Şeyh Edebali University, Bilecik 11230, Turkey
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Nülifer Özdemir & Şirin Aktay & Mehmet Solgun, 2019. "On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds," Mathematics, MDPI, vol. 7(2), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:168-:d:205645
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