2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112735Adopting the global approach to tangent bundles of order two established in[1], we develop this approach to find new results. We also generalize various results of [3], [4] and [6] to the geometry of tangent bundles of order two.15 pages,laTeX fileDifferential Geometry53C60, 53C05Sprays and Connections on the Tangent Bundle of Order Twotext