Deformative magnetic marked length spectrum rigidity

DOI10.1112/blms.12911arXiv2211.01865OpenAlexW4385903705MaRDI QIDQ6139017

Unnamed Author

Publication date: 18 December 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.01865

zbMATH Keywords

Riemannian metricsmagnetic flows

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Geometric evolution equations (53E99)

Cites Work

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• The magnetic ray transform on Anosov surfaces
• Longgitudinal KAM-cocycles and action spectra of magnetic flows
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• Some inverse spectral results for negatively curved 2-manifolds
• Hyperbolic flows
• Manifolds with non-positive curvature
• Flots magnétiques en courbure négative
• Magnetic flows and Gaussian thermostats on manifolds of negative curvature

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