2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111619In this article we consider surfaces in the product space $\h^2\times \r$ of the hyperbolic plane $\h^2$ with the real line. The main results are: a description of some geometric properties of minimal graphs; new examples of complete minimal graphs; the classification of umbilical surfaces.11 pages, 5 figuresDifferential Geometry53C42, 53A10A note on surfaces in $\h^2\times\r$text