Transitive flows on manifolds. (Q1880519)

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scientific article; zbMATH DE number 2104140
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Transitive flows on manifolds.
scientific article; zbMATH DE number 2104140

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    Transitive flows on manifolds. (English)
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    28 September 2004
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    The research on transitive flows on manifolds or manifold-like phase spaces has a long tradition. These are flows in which at least one orbit is dense. In this paper the manifolds admiting transitive flows on manifolds are characterized, thus answering, in the authors' words,``fully some questions by \textit{R. A. Smith} and \textit{E. S. Thomas} [J. Lond. Math. Soc., II. Ser. 37, No. 3, 552--568 (1988; Zbl 0634.58025)]''. For other approaches, see for example \textit{J. D. Lawson} and \textit{A. Lisan} [Mathematika 38, No. 2, 348--361 (1991; Zbl 0764.54030)].
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    characterization of manifolds
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    transitive flows
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    Anosov flows
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    topological dynamics
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