2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106119In a preceding article, we have studied a generalization of the problem of finding a martingale on a manifold whose terminal value is known. This article completes the results obtained in the first article by providing uniqueness and existence theorems in a general framework (in particular if positive curvatures are allowed), still using differential geometry tools.29 pages, to appear in "Probability Theory and Related Fields"ProbabilityMSC (2000) 58J65 34F05 60G48text