2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204630We extend the validity of Brill's axisymmetric positive energy theorem to all asymptotically flat initial data sets with positive scalar curvature on simply connected manifolds.33 pages in A4General Relativity and Quantum CosmologyMass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of masstext