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PreprintarXiv licencearXiv

Tomter's example revisited

Abstract

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

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BibTeX
@misc{zhang2026tomters,
  title = {{Tomter's example revisited}},
  author = {Danyu Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.11097},
  eprint = {2608.11097},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.11097},
}
RIS
TY  - UNPB
TI  - Tomter's example revisited
AU  - Danyu Zhang
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2608.11097
UR  - https://arxiv.org/abs/2608.11097
AB  - We construct examples of fibrewise Anosov flows over the Fenley--Mann--Potrie example of dimension 4. This is a family of non-algebraic Anosov flows with unstable dimension 1+4n and stable dimension 2+4n, for every positive integer n.
ER  -