Conformal vector fields on statistical manifolds

Abstract

Introducing the conformal vector fields on a statistical manifold, we present necessary and sufficient conditions for a vector field on a statistical manifold to be conformal.After presenting some examples, we classify the conformal vector fields on two famous statistical manifolds.Considering three statistical structures on the tangent bundle of a statistical manifold, we study the conditions under which the complete and horizontal lifts of a vector field can be conformal on these structures.