2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213679We show that gravity cures the infra-red divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in generic even dimensions (including time). In addition, we find exact Yang-monopole type solutions in the cosmological Einstein-Gauss-Bonnet-Yang-Mills theory and briefly discuss their properties.10 pages, no figures, RevTeX 4; version 2 to appear in PRD with minor wording changesHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext