Tomter's example revisited

Danyu Zhang

Tomter's example revisited

Dynamical Systems 2026-08-11 v1 Geometric Topology

Authors: Danyu Zhang

Abstract

We construct examples of fibrewise Anosov flows over the Fenley--Mann--Potrie example of dimension 4, which is a family of non-algebraic Anosov flows with unstable dimension $1+4n$ and stable dimension $2+4n$ , for every positive integer $n$ .

Keywords

fibrewise Anosov flows Fenley-Mann-Potrie example non-algebraic Anosov flows unstable dimension stable dimension

Cite

@article{arxiv.2608.11097,
  title  = {Tomter's example revisited},
  author = {Danyu Zhang},
  journal= {arXiv preprint arXiv:2608.11097},
  year   = {2026}
}

Comments

16 pages; comments welcome!