2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73704We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every isometry of the Teichmuller space for S with the Weil-Petersson metric is induced by an element of the mapping class group for S. Our argument handles the previously untreated cases of the four-holed sphere, the one-holed torus, and the two-holed torus.11 pages, 2 figuresDifferential GeometryGeometric Topology32G15; 32M99text