2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74316We present a view of the current understanding of the geometry of Weil-Petersson (WP) geodesics on the completion of the Teichmüller space. We sketch a collection of results by other authors and then proceed to develop the properties of the WP CAT(0) geometry. Our approach includes a simplified proof of the Masur-Wolf theorem, a classification of flats and of geodesic limits.50 pagesDifferential Geometry32G15text