On the differential form spectrum of hyperbolic manifolds
Differential Geometry
2007-05-23 v3 Representation Theory
Spectral Theory
Abstract
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham Laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
Cite
@article{arxiv.math/0303348,
title = {On the differential form spectrum of hyperbolic manifolds},
author = {Gilles Carron and Emmanuel Pedon},
journal= {arXiv preprint arXiv:math/0303348},
year = {2007}
}