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A solution to Flinn’s conjecture on weakly expansive flows

Published online by Cambridge University Press:  26 February 2020

HIEN MINH HUYNH*
Affiliation:
Department of Mathematics and Statistics, Quy Nhon University, 170 An Duong Vuong, Quy Nhon, Vietnam email huynhminhhien@qnu.edu.vn

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.

Type
Original Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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