Absence of resonance near the critical line on asymptotically hyperbolic spaces

Colin Guillarmou

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arXiv · math/0406496

Absence of resonance near the critical line on asymptotically hyperbolic spaces

Colin Guillarmou

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Abstract

As a consequence of a result of Cardoso and Vodev, we show that the resolvent of the Laplacian on asymptotically hyperbolic manifolds is analytic in an exponential neighbourhood of the critical line. The case of non-trapping metrics with constant curvature near infinity is also considered: there exists a strip with at most a finite number of resonances.

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BibTeX RIS

Colin Guillarmou. 2005-09-02. Absence of resonance near the critical line on asymptotically hyperbolic spaces. https://arxiv.org/abs/math/0406496

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