The Hölder-Poincaré duality for L-cohomology.

We prove the following version of Poincaré duality for reduced L-cohomology: For any 1 < q, p < ∞, the L-cohomology of a Riemannian manifold is in duality with the interior L-cohomology for 1/ p + 1/ p′ = 1/ q + 1/ q′ = 1. [ABSTRACT FROM AUTHOR]