Vol. 10, No. 8, 2017
Download this article
Download this article For screen
For printing
Recent Issues

Volume 15
Issue 4, 891–1130
Issue 3, 567–890
Issue 2, 273–566
Issue 1, 1–272

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
 
Other MSP Journals
Resonances for symmetric tensors on asymptotically hyperbolic spaces

Charles Hadfield
Vol. 10 (2017), No. 8, 1877–1922
DOI: 10.2140/apde.2017.10.1877
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
quantum resonances, asymptotically hyperbolic, meromorphic extension of resolvent
Mathematical Subject Classification 2010
Primary: 35P25
Secondary: 35Q75, 53B21
Milestones
Received: 24 October 2016
Accepted: 12 July 2017
Published: 18 August 2017
Authors
Charles Hadfield
DMA
École Normale Supérieure
Paris
France