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Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds - MaRDI portal

Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds (Q1059913)

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scientific article; zbMATH DE number 3905507
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English
Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds
scientific article; zbMATH DE number 3905507

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    Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds (English)
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    1985
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    In this paper we consider a non-singular Morse-Smale flow \(\Phi_ t\) on an irreducible, simple, closed, orientable 3-manifold M. We define a primitive flow \(\Psi_ t\) from \(\Phi_ t\), and call the link type of the closed orbits of \(\Psi_ t\) a primitive link of \(\Phi_ t\). 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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    special Seifert fibered manifolds
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    non-singular Morse-Smale flow
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    primitive flow
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    primitive link
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    primitive links
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