





















Abstract:We construct Anosov flows in certain circle bundles over closed hyperbolic 3-manifolds, producing counterexamples to a conjecture of Verjovsky. Some of these 4-manifolds admit infinitely many distinct Anosov flows up to orbit equivalence. The construction is made by using Cannon-Thurston maps associated to pseudo-Anosov quasigeodesic flows in hyperbolic $3$-manifolds.
| Comments: | 21 pages, 2 figures |
| Subjects: | Dynamical Systems (math.DS); Geometric Topology (math.GT) |
| Cite as: | arXiv:2605.25082 [math.DS] |
| (or arXiv:2605.25082v1 [math.DS] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25082 arXiv-issued DOI via DataCite (pending registration) |
From: Rafael Potrie [view email]
[v1]
Sun, 24 May 2026 13:46:04 UTC (36 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。