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arXiv · 2201.02100

Scattering rigidity for analytic metrics

Yannick Guedes Bonthonneau·Colin Guillarmou·Malo Jézéquel
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Abstract

For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isometry. In particular one recovers both the topology and the metric. More generally, our result holds in the analytic category under the no conjugate point and hyperbolic trapped sets assumptions.

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Yannick Guedes Bonthonneau, Colin Guillarmou, Malo Jézéquel. 2022-01-06. Scattering rigidity for analytic metrics. https://doi.org/10.4310/cjm.2024.v12.n1.a2

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