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

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

2009-11-05

arxiv.org/abs/0911.1059v1

Mathematics

Differential Geometry

21 pages

Scientific paper

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

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