2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186541A new definition of quasi--local angular momentum of non--axisymmetric marginally outer trapped surfaces is proposed. It is based on conformal decomposition of the two--dimensional metric and the action of the group of conformal symmetries. The definition is completely general and agrees with the standard one in axi--symmetric surfaces.Final version to appear in Classical and Quantum Gravity. One reference addedGeneral Relativity and Quantum CosmologyQuasi--local angular momentum of non--symmetric isolated and dynamical horizons from the conformal decomposition of the metrictext