2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56786This work reports on the construction of a nonlinear distributional geometry (in the sense of Colombeau's special setting) and its applications to general relativity with a special focus on the distributional description of impulsive gravitational waves.Latex, 12 pages, Contribution to Proceedings of the International Conference on Generalized Functions (ICGF 2000, Guadeloupe)Mathematical PhysicsGeneral Relativity and Quantum CosmologyFunctional Analysis46F30; 46T30; 46F10; 83C05; 83C35text