2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162924We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of Clifton-Pohl torus; we explicitely compute all of its geodesics.to appear in Complex VariablesComplex Variables53Z05Clifton-Pohl torus and geodesic completeness by a 'complex' point of viewtext