1 November 2002 On the L2-cohomology of a convex cocompact hyperbolic manifold
Xiaodong Wang
Duke Math. J. 115(2): 311-327 (1 November 2002). DOI: 10.1215/S0012-7094-02-11523-3

Abstract

We prove a vanishing theorem for a convex cocompact hyperbolic manifold which relates its L2-cohomology and the Hausdorff dimension of its limit set. The borderline case is shown to characterize the manifold completely.

Citation

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Xiaodong Wang. "On the L2-cohomology of a convex cocompact hyperbolic manifold." Duke Math. J. 115 (2) 311 - 327, 1 November 2002. https://doi.org/10.1215/S0012-7094-02-11523-3

Information

Published: 1 November 2002
First available in Project Euclid: 26 May 2004

MathSciNet: MR1944573
Digital Object Identifier: 10.1215/S0012-7094-02-11523-3

Subjects:
Primary: 58J50
Secondary: 53C20 , 58A14

Rights: Copyright © 2002 Duke University Press

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Vol.115 • No. 2 • 1 November 2002
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