Rigidity and $L^2$ cohomology of hyperbolic manifolds

Gilles Carron

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arXiv · 0910.5887

Rigidity and $L^2$ cohomology of hyperbolic manifolds

Gilles Carron

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Abstract

When $X=\Gamma\backslash \H^n$ is a real hyperbolic manifold, it is already known that if the critical exponent is small enough then some cohomology spaces and some spaces of $L^2$ harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results.

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Gilles Carron. 2009-10-30. Rigidity and $L^2$ cohomology of hyperbolic manifolds. https://arxiv.org/abs/0910.5887

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