Existence of minimal flows on nonorientable surfaces
Dynamical Systems
2017-01-18 v2
Abstract
Surfaces admitting flows all whose orbits are dense are called minimal. Minimal orientable surfaces were characterized by J.C. Beni\`{e}re in 1998, leaving open the nonorientable case. This paper fills this gap providing a characterization of minimal nonorientable surfaces of finite genus. We also construct an example of a minimal nonorientable surface with infinite genus and conjecture that any nonorientable surface without combinatorial boundary is minimal.
Keywords
Cite
@article{arxiv.1608.08788,
title = {Existence of minimal flows on nonorientable surfaces},
author = {J. G. Espín Buendía and D. Peralta-Salas and G. Soler López},
journal= {arXiv preprint arXiv:1608.08788},
year = {2017}
}
Comments
20 pages