GENERALIZED SASAKIAN-SPACE-FORMS WITH A CONTACT CONFORMAL CURVATURE TENSOR

Chaubey S. K., Yadav S., AKYOL M. A.

Surveys in Mathematics and its Applications, cilt.20, ss.217-233, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20
  • Basım Tarihi: 2025
  • Dergi Adı: Surveys in Mathematics and its Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.217-233
  • Anahtar Kelimeler: 53C25, 53D10, 53D15, contact conformal curvature tensor, generalized Sasakian-space-forms, Sasakian manifolds
  • Uşak Üniversitesi Adresli: Evet

Özet

The present paper deals with the study of generalized Sasakian-space-forms. We show that the Ricci operator commutes with ϕ. The necessary and sufficient conditions for the Ricci and ϕ-contact conformally flat generalized Sasakian-space-forms are proved. We validate our results by providing a non-trivial example of a generalized Sasakian-space-form.