Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends

David Borthwick; Pascal Philipp

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arXiv · 1308.3528

Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends

David Borthwick·Pascal Philipp

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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.

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David Borthwick, Pascal Philipp. 2013-08-16. Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends. https://arxiv.org/abs/1308.3528

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