2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65426In this paper we explore the connection between special degenerations of algebraic manifolds and geodesics in the space of Kahler metrics. We provide a new and general geometric construction of nontrivial solutions for the geodesic equation. We show how to associate to any special nontrivial degeneration a geodesic of inifite length.17 pagesDifferential GeometrySymplectic Geometry58E11;32Q20;32W20;53C55text