By Dubi Kelmer and Lior Silberman

Let *G* be *\SO(n,1)* or *\SU(n,1)* and let *\Gamma\subset G* denote an arithmetic lattice. The hyperbolic manifold *\Gamma\backslash \calH* comes with a natural family of covers, coming from the congruence subgroups of *\Gamma*. In many applications, it is useful to have a bound for the spectral gap that is uniform... Show more

November 16, 2010

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A uniform spectral gap for congruence covers of a hyperbolic manifold

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