2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60777Formula for the force field of Newtonian dynamical systems admitting the normal shift of hypersurfaces in Riemannian manifolds is considered. Problem of globalization for geometric structures associated with this formula is studied.AmSTeX, 14 pages, amsppt styleDifferential GeometryDynamical Systems53B20First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfacestext