Some Characterizations on Gradient Almost r]-Ricci-Bourguignon Solitons

Traore M., TAŞTAN H. M., Aydin S.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.43, 2025 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2025
  • Doi Numarası: 10.5269/bspm.70710
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • İstanbul Üniversitesi Adresli: Evet

Özet

We characterize a Riemannian manifold with gradient almost eta-Ricci-Bourguignon solitons structures. We show that a gradient almost eta-Ricci-Bourguignon soliton is gradient (- omega 1 u)-almost traceless Ricci soliton with the potential function k. Moreover, we investigate that a gradient (- omega 1u )-almost traceless Ricci soliton is isometric to a standard unit sphere Sn, hyperbolic space Hn and Euclidean space Rn with constant scalar curvature or its associated vector field is conformal. Finally, we deduce some properties of integral formulas for the gradient compact case.