A study of ∗−Ricci solitons in the framework of trans-Sasakian 3-manifolds

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Haseeb A., Prakasha D. G., VANLI A., Bilal M.

Boletim da Sociedade Paranaense de Matematica, cilt.43, 2025 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2025
  • Doi Numarası: 10.5269/bspm.67162
  • Dergi Adı: Boletim da Sociedade Paranaense de Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: 53C15, 53C25, Einstein manifold, Projective curvature tensor, Trans-Sasakian manifolds, ∗−Ricci solitons
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

The purpose of this work is to study ∗−Ricci solitons in trans-Sasakian 3-manifolds. First, ∗−Ricci solitons in trans-Sasakian 3-manifolds admitting cyclic η−recurrent Ricci tensor, and the curvature condition R · Q = 0 are considered. Furthermore, the manifolds admitting ∗−Ricci solitons obeying certain conditions on the projective curvature tensor are being inspected. Finally, we construct an example of trans-Sasakian 3-manifolds and proved that ∗−Ricci soliton on a trans-Sasakian 3-manifold is steady.