Geodesic
Characterization of sequential warped product gradient Ricci-Bourguignon soliton
Filomat, Tome 37 (2023) no. 27, p. 9273

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DOI

In this paper, we study characterization of sequential warped product gradient Ricci-Bourguignon soliton. We derive applications of some vector fields like torse-forming vector field, torqued vector field, conformal vector field on Ricci-Bourguignon soliton. We show that for torse-forming vector field, a Ricci-Bourguignon soliton becomes an almost quasi-Einstein manifold. Next, we obtain the inheritance properties of the Einstein-like sequential warped product gradient Ricci-Bourguignon almost soliton of class type P, A, B. We prove that, when the manifold is complete, the potential function depends only on M 1 and M 3 must be an Einstein manifold. We also present for a gradient Ricci-Bourguignon soliton sequential warped product, the warping functions are constants under some certain conditions.
DOI : 10.2298/FIL2327273P
Classification : 53C20, 53C21, 53C50, 53E20
Keywords: Ricci-Bourguignon soliton, gradient Ricci-Bourguignon soliton, sequential warped product 
Sampa Pahan; Souvik Dutta. Characterization of sequential warped product gradient Ricci-Bourguignon soliton. Filomat, Tome 37 (2023) no. 27, p. 9273 . doi: 10.2298/FIL2327273P
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     title = {Characterization of sequential warped product gradient {Ricci-Bourguignon} soliton},
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     year = {2023},
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     doi = {10.2298/FIL2327273P},
     language = {en},
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