On sequential warped product η-Ricci-Bourguignon solitons

Traore M., TAŞTAN H. M.

Filomat, cilt.38, sa.19, ss.6785-6797, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 19
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2419785t
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6785-6797
  • Anahtar Kelimeler: concurrent vector field, Killing and conformal vector fields, quasi-Einstein manifolds, warped product manifolds, η-Ricci-Bourguignon solitons
  • İstanbul Üniversitesi Adresli: Evet

Özet

We investigate η-Ricci-Bourguignon solitons structure on sequential warped product manifolds and prove that an η-Ricci-Bourguignon soliton sequential warped manifold whose potential vector field is Killing or conformal must be a quasi-Einstein manifold. Finally, we deduce two applications of η-Ricci-Bourguignon solitons sequential warped product namely standard static space-times and generalized Robertson-Walker space-times.