PreprintarXiv licencearXiv
Accessibility of collapsed Anosov flow
Abstract
We prove that every C1 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.
Related
- Collapsed Finite Time Singularities of the Kähler-Ricci Flow on Complex Surfaces are of Type I
- Pseudo-Anosov flow and dynamics on guts
- Marked length spectrum and area of surfaces with Anosov geodesic flow
- There is only one transitive Anosov flow (in dimension 3, with orientable foliations, up to bicontact padding and Goodman surgeries)
- Lipschitz volume rigidity for non-collapsed RCD spaces with boundary
BibTeX
@misc{feng2026accessibility,
title = {{Accessibility of collapsed Anosov flow}},
author = {Ziqiang Feng and Raúl Ures},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06210},
eprint = {2611.06210},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06210},
}
RIS
TY - UNPB
TI - Accessibility of collapsed Anosov flow
AU - Ziqiang Feng
AU - Raúl Ures
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06210
UR - https://arxiv.org/abs/2611.06210
AB - 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.
ER -