2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152096In a previous preprint we defined an energy associated to every embedding of a surface into $R^n$ or $S^n$. This energy is invariant under Moebius tranformations and the "round" sphere is its only absolute minimum. Here we sketch a proof of the compactness property for a variant of it. The details will appear elsewhere.Plain-tex fileDifferential Geometrytext