Integration of closed bounded 2-forms over geodesic simplices gives an injective map from the space of such forms into H^2_b(M) for complete hyperbolic n-manifolds whose fundamental group has limit set equal to the full boundary at infinity.
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Bounded cohomology classes from differential forms
Integration of closed bounded 2-forms over geodesic simplices gives an injective map from the space of such forms into H^2_b(M) for complete hyperbolic n-manifolds whose fundamental group has limit set equal to the full boundary at infinity.