On the L2 cohomology of a convex cocompact hyperbolic manifold
classification
🧮 math.DG
keywords
manifoldcocompactcohomologyconvexhyperbolicborderlinecasecharacterize
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A vanishing theorem for a convex cocompact hyperbolic manifold is established, which relates the L2 cohomology to the Hausdorff dimension of the limit set. The borderline case is shown to characterize the manifold completely.
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