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arXiv · 2604.08262

Marked magnetic action rigidity

Louis-Brahim Beaufort·Sebastián Muñoz-Thon·Sean Richardson
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Abstract

An exact magnetic system over a closed manifold $M$ consists of a pair $(g,\alpha)$, where $g$ is a Riemannian metric and $\alpha$ is a 1-form encoding a magnetic field. In this context, we consider a generalization of the marked length rigidity conjecture: does the marked magnetic action spectrum of magnetic systems with Anosov magnetic flow determine the metric and the 1-form, up to a natural obstruction? In this article we answer this question in two settings: 1) locally for systems with close metrics and 1-forms and 2) for metrics in the same conformal class.

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Louis-Brahim Beaufort, Sebastián Muñoz-Thon, Sean Richardson. 2026-04-09. Marked magnetic action rigidity. https://arxiv.org/abs/2604.08262

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