Rigidity and $L^2$ cohomology of hyperbolic manifolds
Differential Geometry
2014-06-13 v1
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 harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results.
Cite
@article{arxiv.0910.5887,
title = {Rigidity and $L^2$ cohomology of hyperbolic manifolds},
author = {Gilles Carron},
journal= {arXiv preprint arXiv:0910.5887},
year = {2014}
}