On the L2 cohomology of a convex cocompact hyperbolic manifold
Differential Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0210163,
title = {On the L2 cohomology of a convex cocompact hyperbolic manifold},
author = {Xiaodong Wang},
journal= {arXiv preprint arXiv:math/0210163},
year = {2007}
}
Comments
to appear in Duke Math. J. (final version)