2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111477In this short paper, we review recent progress on the positive mass theorem for spacelike hypersurfaces which approach to null infinity in asymptotically flat spacetimes. We use it to prove, if the functions $c(u, θ, ψ)$, $d(u, θ, ψ)$ vanish at certain retarded time in vacuum Bondi's radiating spacetimes, then the Bondi mass is nonnegative up to that time.10 pages, Invited talk at ICCM 2004, December 17-22, Hong KongDifferential GeometryGeneral Relativity and Quantum Cosmologytext