2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52194We analyze gauge theories based on abelian $p-$forms in real compact hyperbolic manifolds. The explicit thermodynamic functions associated with skew--symmetric tensor fields are obtained via zeta--function regularization and the trace tensor kernel formula. Thermodynamic quantities in the high--temperature expansions are calculated and the entropy/energy ratios are established.Submitted to the Proceedings of the 6th Workshop on Quantum Field Theory Under the Influence of External Conditions; 6 pages, no figures. Title slightly changedHigh Energy Physics - TheoryMathematical Physicstext