2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184748Uncertainty relations for particle motion in curved spaces are discussed. The relations are shown to be topologically invariant. New coordinate system on a sphere appropriate to the problem is proposed. The case of a sphere is considered in details. The investigation can be of interest for string and brane theory, solid state physics (quantum wires) and quantum optics.published version; phase space structure discussion addedQuantum Physicstext