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arXiv · 1609.02332

The scattering operator on asymptotically hyperbolic manifolds

Antônio Sá Barreto·Yiran Wang
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Abstract

We obtain a formula for the Schwartz kernel of the scattering operator in terms of the Schwartz kernel of the fundamental solution of the wave operator on asymptotically hyperbolic manifolds. If there are no trapped geodesics, this formula is used to show that the scattering operator is a Fourier integral operator that quantizes the scattering relation.

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Antônio Sá Barreto, Yiran Wang. 2016-09-08. The scattering operator on asymptotically hyperbolic manifolds. https://arxiv.org/abs/1609.02332

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