Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 1999

Flows without Minimal Set

J.-C. Beniere
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Résumé

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.

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Dates et versions

hal-03343117 , version 1 (14-09-2021)

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Citer

J.-C. Beniere, Gael Meigniez. Flows without Minimal Set. Ergodic Theory and Dynamical Systems, 1999, 19 (1), pp.21-30. ⟨10.1017/S0143385799126567⟩. ⟨hal-03343117⟩
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