Lq,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 the previous publications.
KeywordsRiemannian Manifold Sobolev Space Sectional Curvature Volume Form Sobolev Inequality
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