2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137745Counterexamples to continuity of optimal transportation on Riemannian manifolds with everywhere positive sectional curvature are provided. These examples show that the condition A3w of Ma, Trudinger, & Wang is not guaranteed by positivity of sectional curvature.10 pagesDifferential GeometryAnalysis of PDEs53Cxx; 35Jxx; 49N60; 58E17Counterexamples to continuity of optimal transportation on positively curved Riemannian manifoldstext