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


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Ozdemir N., Aktay Ş., SOLGUN M.

Mathematics, cilt.7, sa.2, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7020168
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Almost contact metric structure, D-conformal deformation, Riemannian manifolds
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 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.