Filomat 2024 Volume 38, Issue 19, Pages: 6785-6797
https://doi.org/10.2298/FIL2419785T
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On sequential warped product η-Ricci-Bourguignon solitons
Traore Moctar (İstanbul University, Faculty of Science, Department of Mathematics, Vezneciler, İstanbul, Turkey), moctar.traore@ogr.iu.edu.tr
Taştan Hakan Mete (İstanbul University, Faculty of Science, Department of Mathematics, Vezneciler, İstanbul, Turkey), hakmete@istanbul.edu.tr
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.
Keywords: η-Ricci-Bourguignon solitons, quasi-Einstein manifolds, Killing and conformal vector fields, concurrent vector field, warped product manifolds
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