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

arxiv: 0805.1845 · v1 · submitted 2008-05-13 · 🧮 math.DG · math.AP

On the L_(q,p)-cohomology of Riemannian Manifolds with Negative Curvature

Vladimir Gol'dshtein , Marc Troyanov This is my paper

classification 🧮 math.DG math.AP

keywords cohomologycurvaturemanifoldsnegativeriemanniancompletenon-vanishingpinched

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We prove a non-vanishing result for the $L_{q,p}$-cohomology of complete simply-connected Riemannian manifolds with pinched negative curvature.

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