Resonances for Symmetric Tensors on Asymptotically Hyperbolic Spaces
Analysis of PDEs
2018-03-16 v2 Differential Geometry
Abstract
On manifolds with an even Riemannian conformally compact Einstein metric, the resolvent of the Lichnerowicz Laplacian, acting on trace-free, divergence-free, symmetric 2-tensors is shown to have a meromorphic continuation to the complex plane, defining quantum resonances of this Laplacian. For higher rank symmetric tensors, a similar result is proven for (convex cocompact) quotients of hyperbolic space.
Keywords
Cite
@article{arxiv.1609.06527,
title = {Resonances for Symmetric Tensors on Asymptotically Hyperbolic Spaces},
author = {Charles Hadfield},
journal= {arXiv preprint arXiv:1609.06527},
year = {2018}
}
Comments
39 pages, notational update, to appear in Analysis & PDE