Abstract
The results in Chap. 5 form the basis of a theory of flows on three-dimensional manifolds and paved the way for a global understanding of the dynamics of C 1 generic flows in dimension 3.
In this chapter we present some results from the generic viewpoint, either for C 1 flows on 3-manifolds, or for C 1 conservative flows on 3-manifolds. This means that we present some properties satisfied by a generic subset of all vector fields in compact 3-manifolds in the C 1 topology.
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© 2010 Springer-Verlag Berlin Heidelberg
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Araújo, V., Bessa, M., Pacifico, M.J. (2010). Global Dynamics of Generic 3-Flows. In: Three-Dimensional Flows. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11414-4_9
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DOI: https://doi.org/10.1007/978-3-642-11414-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11413-7
Online ISBN: 978-3-642-11414-4
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