Expansive measures for flows

We extend the concept of expansive measure \cite{am} defined for homeomorphism to flows. We obtain some properties for such measures including abscense of singularities in the support, aperiodicity, expansivity with respect to time-\(T\) maps, invariance under flow-equivalence, negligibleness of orb...

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Bibliographic Details
Published in:arXiv.org 2013-04
Main Authors: Carrasco-Olivera, D, Morales, C A
Format: Article
Language:English
Subjects:
Expansion
Flow mapping
Singularities
Online Access:Get full text
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Summary:We extend the concept of expansive measure \cite{am} defined for homeomorphism to flows. We obtain some properties for such measures including abscense of singularities in the support, aperiodicity, expansivity with respect to time-\(T\) maps, invariance under flow-equivalence, negligibleness of orbits, characterization of expansive measures for expansive flows and naturallity under suspensions. As an application we obtain a new proof of the well known fact that there are no continuous expansive flows on surfaces (e.g. \cite{hs}).
ISSN:2331-8422