2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118122An application of the Zalcman renormalization theorem to harmonic functions shows that the limit functions are nonconstant affine. Extensions of this method are given for maps with values in a torus or in a complex Lie groups. As an application, we give criteria of Kobayashi hyperbolicity for tubes in ${\Bbb C}^2$.Complex Variables32A07text