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Resonances for
symmetric tensors on asymptotically hyperbolic spaces
Charles Hadfield |
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Vol. 10 (2017), No. 8, 1877–1922
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Abstract |
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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
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Mathematical Subject Classification 2010
Primary: 35P25
Secondary: 35Q75, 53B21
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Milestones
Received: 24 October 2016
Accepted: 12 July 2017
Published: 18 August 2017
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Authors |
| Charles Hadfield | |
| DMA École Normale Supérieure Paris France |
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