Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends
Spectral Theory
2013-08-19 v1 Differential Geometry
Abstract
We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped product type. Our main result is an upper bound on the resonance counting function with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base manifold defining the ends.
Keywords
Cite
@article{arxiv.1308.3528,
title = {Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends},
author = {David Borthwick and Pascal Philipp},
journal= {arXiv preprint arXiv:1308.3528},
year = {2013}
}
Comments
28 pages, 3 figures