Asymptotically hyperbolic manifolds with polyhomogeneous metric
Analysis of PDEs
2015-10-14 v2 Spectral Theory
Abstract
We analyze the resolvent and define the scattering matrix for asymptotically hyperbolic manifolds with metrics which have a polyhomogeneous expansion near the boundary, and also prove that there is always an essential singularity of the resolvent in this setting. We use this analysis to prove an inverse result for conformally compact odd dimensional Einstein manifolds.
Cite
@article{arxiv.0811.4473,
title = {Asymptotically hyperbolic manifolds with polyhomogeneous metric},
author = {Leonardo Marazzi},
journal= {arXiv preprint arXiv:0811.4473},
year = {2015}
}
Comments
22 pages, mistake on previous version corrected