On the L2 cohomology of a convex cocompact hyperbolic manifold

Xiaodong Wang

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On the L2 cohomology of a convex cocompact hyperbolic manifold

Xiaodong Wang

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Abstract

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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Xiaodong Wang. 2002-10-10. On the L2 cohomology of a convex cocompact hyperbolic manifold. https://arxiv.org/abs/math/0210163

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