Article ID Journal Published Year Pages File Type
4610581 Journal of Differential Equations 2014 15 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,