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

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.