Characterization of contact structures for the dual form of the vector field of an h-Ricci-Bourguignon soliton on the product manifold D2 and R

In this paper, we study h-Ricci-Bourguignon solitons on the product manifold D2 x R, where D2 is the Poincare disk equipped with its standard hyperbolic metric. We first establish that this manifold admits a gradient Ricci-Bourguignon h-soliton only if the non-zero function h depends solely on the m