On the L2 cohomology of a convex cocompact hyperbolic manifold

Details On the L2 cohomology of a convex cocompact hyperbolic manifold On the L2 cohomology of a convex cocompact hyperbolic manifold

2002-10-10

arxiv.org/abs/math/0210163v1

Mathematics

Differential Geometry

to appear in Duke Math. J. (final version)

Scientific paper

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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