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Article Dans Une Revue Cambridge Journal of Mathematics Année : 2024

Scattering rigidity for analytic metrics

Résumé

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.

Dates et versions

hal-03694664 , version 1 (13-06-2022)

Identifiants

Citer

Yannick Guedes Bonthonneau, Colin Guillarmou, Malo Jézéquel. Scattering rigidity for analytic metrics. Cambridge Journal of Mathematics, 2024, 12 (1), pp.165-222. ⟨10.4310/CJM.2024.v12.n1.a2⟩. ⟨hal-03694664⟩
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