2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64731We construct smooth metrics on 2-manifold with nonpositive Gauss curvature which cannot be (C^3) locally isometrically embedded in R^3. Moreover, the Gauss curvature of the metric can be made negative except for one point.submittedDifferential GeometryAnalysis of PDEstext