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Book Chapter

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

We 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.

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