2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76550A necessary and sufficient condition for the existence and uniqueness of a conformal metric on 2-sphere of constant curvature 1 and with three conical singularities of prescribed order is given.20 pages, in LaTeX2eDifferential Geometry30F10; 53C21, 53A10Metrics of constant curvature 1 with three conical singularities on 2-spheretext