Resonances on some geometrically finite hyperbolic manifolds

Colin Guillarmou

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Resonances on some geometrically finite hyperbolic manifolds

Colin Guillarmou

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Abstract

We prove the meromorphic extension to C for the resolvent of the Laplacian on a class of geometrically finite hyperbolic manifolds with infinite volume and we give a polynomial bound on the number of resonances. This class notably contains the geometrically finite quotients with rational non-maximal rank cusps previously studied by Froese-Hislop-Perry.

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BibTeX RIS

Colin Guillarmou. 2004-12-02. Resonances on some geometrically finite hyperbolic manifolds. https://arxiv.org/abs/math/0412064

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