Resonances on some geometrically finite hyperbolic manifolds
Spectral Theory
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0412064,
title = {Resonances on some geometrically finite hyperbolic manifolds},
author = {Colin Guillarmou},
journal= {arXiv preprint arXiv:math/0412064},
year = {2007}
}
Comments
18 pages, 3 figures