On generalized D-conformal deformations of certain almost contact metric manifolds

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Ozdemir N., Aktay Ş., SOLGUN M.

Mathematics, vol.7, no.2, 2019 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.3390/math7020168
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Almost contact metric structure, D-conformal deformation, Riemannian manifolds
  • Open Archive Collection: AVESIS Open Access Collection
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2019 by the authors.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.