2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Rawan Bossly, Ghodratallah Fasihi-Ramandi and Mohd Danish Siddiqi

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few implications of 2-conformal vector fields in hyperbolic Ricci solitons are investigated. In addition, we explore the properties of Sol space in terms of φRic-vector fields and hyperbolic Ricci solitons. Lastly, we discuss the gradient hyperbolic Ricci soliton with a special concircular vector field of gradient type in Sol space.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6724169

DOI: 10.1155/jom/6724169

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