2-Killing vector fields on multiply warped product manifolds

Adara M. Blaga and Cihan Özgür

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

Abstract: We characterize 2-Killing vector fields on multiply warped product manifolds. We find the necessary and sufficient conditions for the lift of a vector field on a factor manifold (Mi,gi), i=1,n¯, to be a 2-Killing vector field on the multiply warped product manifold, providing also conditions for the component of a Killing or a 2-Killing vector field on a multiply warped product to be a 2-Killing vector field on a factor manifold. Moreover, under certain assumptions, we prove that the component of a Killing or a 2-Killing vector field on a multiply warped product manifold is the potential vector field of a Ricci or a hyperbolic Ricci soliton factor manifold, respectively. As physical applications, we consider the spacetime case, constructing examples of 2-Killing vector fields on the generalized Robertson–Walker and on the generalized Kasner spacetimes.

Keywords: 2-Killing vector field; Multiply warped product manifold; Ricci-type soliton; Spacetime (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001127

DOI: 10.1016/j.chaos.2024.114561

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