ON ALMOST η-RICCI-BOURGUIGNON SOLITONS

Traore M., Tastan H. M., Aydin S. G.

MISKOLC MATHEMATICAL NOTES, cilt.25, sa.1, ss.493-508, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.18514/mmn.2024.4378
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.493-508
  • İstanbul Üniversitesi Adresli: Evet

Özet

We investigate a Riemannian manifold with almost eta-Ricci-Bourguignon soliton structure. We use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost eta-Ricci-Bourguignon soliton. Moreover, we show that a nontrivial, compact almost eta-Ricci-Bourguignon soliton of constant scalar curvature is isometric to the Euclidean sphere. Using some results obtaining from almost eta-Ricci Bourguignon soliton, we give the integral formulas for compact orientable almost eta-Ricci-Bourguignon soliton.