2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194310The geodesic equation in induced matter theory is redefined. It is shown that the extra forces do not change the four-impulse of massive particles. We show that the 4D space-time is non-integrable and find the relation between non-integrability and the Mach's principal.11 pages, to appear in Gen. Relativ. GravitGeneral Relativity and Quantum Cosmologytext