Analysis of 2-conformal vector fields on warped products

Articles in Press

Document Type : Research Paper

Authors

1 Department of Pure Mathematics, Imam Khomeini International University, Qazvin, Iran.

2 Department of Mathematics, Malayer University, Malayer, Iran.

3 Department of Mathematics, Maulana Azad National Urdu University, Hyderabad, India.

Abstract

In this paper, we define 2-conformal vector fields (CVFs) within a Riemannian manifold (RM) and investigate their geometry in both standard static space-time (SSST) and warped product manifolds (WPM). We derive the conditions under which the 2-CVFs are parallel and establish curvature-related results for WPM in terms of 2-CVFs. We characterize 2-CVFs on static and Robertson-Walker space-times. Finally, the relation between such a vector field (VF) and hyperbolic Ricci solitons (HRS) is considered.

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References

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Journal of Hyperstructures

Articles in Press, Accepted Manuscript
Available Online from 29 September 2026

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