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

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  • Rawan Bossly
  • Ghodratallah Fasihi-Ramandi
  • Mohd Danish Siddiqi

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.

Suggested Citation

  • Rawan Bossly & Ghodratallah Fasihi-Ramandi & Mohd Danish Siddiqi, 2025. "2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons," Journal of Mathematics, Hindawi, vol. 2025, pages 1-8, May.
    • Handle: RePEc:hin:jjmath:6724169
    DOI: 10.1155/jom/6724169
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