A solution to Flinn's conjecture on weakly expansive flows
Dynamical Systems
2020-10-22 v2
Abstract
In L.W. Flinn's PhD thesis published in 1972, the author conjectured that weakly expansive flows are also expansive flows. In this paper we use the horocycle flow on compact Riemann surfaces of constant negative curvature to show that Flinn's conjecture is not true.
Keywords
Cite
@article{arxiv.1909.10028,
title = {A solution to Flinn's conjecture on weakly expansive flows},
author = {Huynh Minh Hien},
journal= {arXiv preprint arXiv:1909.10028},
year = {2020}
}
Comments
final version. To appear in Ergodic Theory and Dynamical Systems. arXiv admin note: text overlap with arXiv:1906.04839