Some results on almost η-Ricci-Bourguignon solitons
JOURNAL OF GEOMETRY AND PHYSICS, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2021
- Doi Numarası: 10.1016/j.geomphys.2021.104316
- Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: Ricci-Bourguignon solitons, Gradient vector field, Torse-forming vector field
- İstanbul Üniversitesi Adresli: Evet
Özet
We determine a formula to compute the defining function of a gradient almost Ricci-Bourguignon soliton by means of the potential vector field, providing in this sense two examples. We also give a rigidity result in this case. Moreover, we deduce some curvature properties of solitons with torse-forming potential vector field. Further we generalize some of the results to almost eta-Ricci-Bourguignon solitons and prove that a gradient almost Ricci-Bourguignon soliton on a doubly warped product manifold induces gradient almost eta-Ricci-Bourguignon solitons on its factor manifolds. (C) 2021 Elsevier B.V. All rights reserved.