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arXiv · 1608.08788

Existence of minimal flows on nonorientable surfaces

J. G. Espín Buendía·D. Peralta-Salas·G. Soler López
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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.

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J. G. Espín Buendía, D. Peralta-Salas, G. Soler López. 2016-08-31. Existence of minimal flows on nonorientable surfaces. https://arxiv.org/abs/1608.08788

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