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arXiv:0911.1059 [math.DG]AbstractReferencesReviewsResources

The Hölder-Poincaré Duality for $L_{q,p}$-cohomology

Vladimir Gol'dshtein, Marc Troyanov

Published 2009-11-05Version 1

We prove the following version of Poincare duality for reduced $L_{q,p}$-cohomology: For any $1<q,p<\infty$, the $L_{q,p}$-cohomology of a Riemannian manifold is in duality with the interior $L_{p',q'}-cohomology for $1/p+1/p'=1$, $1/q+1/q'=1$.

Comments: 21 pages
Journal: Annals of Global Analysis and Geometry January 2012, Volume 41, Issue 1, pp 25-45
Categories: math.DG
Subjects: 30C65, 58A10, 58A12
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