Rigidity and $L^2$ cohomology of hyperbolic manifolds

Details Rigidity and $L^2$ cohomology of hyperbolic manifolds Rigidity and $L^2$ cohomology of hyperbolic manifolds

2009-10-30

arxiv.org/abs/0910.5887v1

Mathematics

Differential Geometry

Scientific paper

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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