2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59667We shall discuss the class of surfaces with holomorphic right Gauss maps in non-compact duals of compact semisimple Lie groups (e.g. SL(n,C)/SU(n)), which contains minimal surfaces in R^n and constant mean curvature 1 surfaces in H^3. A Weierstrass type representation formula, and a Chern-Osserman type inequality for such surfaces are given.25 pagesDifferential Geometry53A10; 53A35; 53A07text