2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184252Chern--Simons type Lagrangians in $d=3$ dimensions are analyzed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully covariant and global Lagrangian for Chern--Simons gravity: the price for establishing globality is hidden in a bimetric (or biconnection) structure. Such a formulation allows to calculate from a global and simpler viewpoint the energy-momentum complex and the superpotential both for Yang--Mills and gravitational examples.12 pages,LaTeX, to appear in Journal of Physics AHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyMathematical Physicstext