Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds |
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Authors: | Tsuyoshi Kobayashi |
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Affiliation: | Department of Mathematics, Osaka University, Toyonaka, Osaka 560, Japan |
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Abstract: | In this paper we consider a non-singular Morse-Smale flow Φt on an irreducible, simple, closed, orientable 3-manifold M. We define a primitive flow ψt from Φt, and call the link type of the closed orbits of ψt a primitive link of Φt. We show that the link types of the primitive links are finite and every non-singular Morse-Smale flow on M is obtained from a primitive flow by exchanging the flow in a regular neighborhood of attracting or repelling closed orbits. |
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Keywords: | 58F15 58F25 |
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