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Flows without minimal set

Published online by Cambridge University Press:  01 February 1999

J.-C. BENIERE  and
G. MEIGNIEZ
J.-C. BENIERE
Affiliation:
Institut Girard Desargues - UPRES-A 5028 du CNRS, Universite Claude Bernard, 69622 Villeurbanne Cedex, France (e-mail: beniere@desargues.univ-lyon1.fr)
G. MEIGNIEZ
Affiliation:
L.M.A.M., Universite de Bretagne Sud, 1, rue de la Loi, F 56000 Vannes, France (e-mail: Gael.Meigniez@univ-ubs.fr)
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Abstract

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In this paper we prove, using explicit constructions, that every non-compact manifold (except, of course, surfaces of finite genus) can be endowed with a non-singular flow without minimal subset, that is to say: a flow such that each orbit closure contains a smaller one.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 1 , February 1999 , pp. 21 - 30
Copyright
1999 Cambridge University Press