English

A smooth mixing flow on a surface with non-degenerate fixed points

Dynamical Systems 2015-01-14 v1

Abstract

We construct a smooth, area preserving, mixing flow with finitely many non-degenerate fixed points and no saddle connections on a closed surface of genus 5. This resolves a problem that has been open for four decades.

Keywords

Cite

@article{arxiv.1501.02881,
  title  = {A smooth mixing flow on a surface with non-degenerate fixed points},
  author = {Jon Chaika and Alex Wright},
  journal= {arXiv preprint arXiv:1501.02881},
  year   = {2015}
}

Comments

39 pages, 3 figures

R2 v1 2026-06-22T07:59:15.886Z