Sobolev Inequalities for Differential Forms and $L_{q,p}$-cohomology

Vladimir Gol'dshtein, Marc Troyanov

We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold $(M,g)$ and the $L_{q,p}$-cohomology of that manifold. The $L_{q,p}$-cohomology o…