2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189701We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto the surface of a de Sitter hyperboloid. The gauge fields in the two descriptions are mapped by conformal Killing vectors allowing for a very transparent analysis and compact presentation of results. As applications, the axial anomaly is computed and the electric-magnetic duality is exhibited. Finally, the zero curvature limit is shown to yield consistent results.17 pages; LaTex; added references, minor changesHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext