Abstract

We extend the concept of expansive measure [2] from homeomorphism to flows. We prove for continuous flows on compact spaces that every expansive measure has no singularities in the support, is aperiodic, is expansive with respect to time-T maps (but not conversely), remains expansive under topological equivalence, vanishes along the orbits and is natural under suspensions. We apply these properties to prove that there are no expansive flows (in the sense of [26]) of any closed surface. (C) 2014 Elsevier Inc. All rights reserved.