$L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvature

Troyanov, MarcGoldshtein, Vladimir2009-07-082009-07-082009-07-08200910.1007/978-0-387-85650-6_9https://infoscience.epfl.ch/handle/20.500.14299/41218We consider the L_{q,p}-cohomology of a complete simply connected Riemannian manifold (M,g) with pinched negative curvature. The connection between the L_{q,p}-cohomology of (M,g) and Sobolev inequalities for differential forms on (M,g) was established by the authors in a previous publications.L_{q,p}-cohomologyNegative curvature$L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvaturetext::book/monograph::book part or chapter