2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71641We define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian geometry with applications to optimal control theory. We compute a complete set of local invariants, geodesic equations, and the Jacobi operator for the three-dimensional case and investigate homogeneous examples.29 pages, 4 figuresDifferential GeometryOptimization and Control53C17, 53B40, 49J15 (Primary) 58A15, 53C10 (Secondary)text