Characterizing Ï•Ric-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds

Moctar Traore, Ameth Ndiaye and Mansour Sane

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-11

Abstract: We characterize multiply warped product manifolds with ϕRic-vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕRic-vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered. Moreover, we investigate the effect of the quasi-Einstein condition on the factor manifolds of a multiply product. Additionally, it obtains conditions for a multiply warped product manifold satisfying the quasi-Einstein condition to be a direct product manifold.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5841429

DOI: 10.1155/ijmm/5841429

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