Forms on vector bundles over compact hyperbolic manifolds and entropy bounds

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We 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 changed

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