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

Abstract

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^{\prime },q^{\prime }}-cohomologyfor$1/p+1/p'=1$,$1/q+1/q'=1$.

21 pages

References in corpus (2)

• Sobolev Inequalities for Differential Forms and $L_{q,p}$-cohomology
• Lp-cohomology of symmetric spaces

Cited by in corpus (1)

• The Sobolev--Poincaré Inequality and the $L_{q,p}$-Cohomology of Twisted Cylinders