2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109760Globally symmetric spinor condensates in free space are argued not to support stable topological defects in either two or three dimensions. In the latter case, however, we show that a topological Skyrmion can be stabilized by forcing it to adopt certain density profiles. A sufficient condition for the existence of Skyrmion solutions in three dimensions is formulated and illustrated in simple examples. Our results pertain to Bose-Einstein condensation in Rb.4 pages, 2 figures; few typos corrected, references updated, to appear in Phys. Rev. LettSuperconductivityAstrophysicsStatistical MechanicsPattern Formation and Solitonstext