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arXiv · 2611.06210

Accessibility of collapsed Anosov flow

Ziqiang Feng·Raúl Ures
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Abstract

We prove that every $C^1$ collapsed Anosov flow on a closed three-manifold with non-virtually-solvable fundamental group is accessible. No transitivity or nonwandering assumption is required, and the collapsing map need not satisfy the strong-collapse conditions. We also prove that every three-dimensional collapsed Anosov flow for which no positive iterate is a discretized Anosov flow is accessible.

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Ziqiang Feng, Raúl Ures. 2026-11-04. Accessibility of collapsed Anosov flow. https://arxiv.org/abs/2611.06210

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