On Gradient-Like Flows on Seifert Manifolds

We consider a class of gradient-like flows on three-dimensional closed manifolds whose attractors and repellers belongs to a finite union of embedded surfaces and find conditions when the ambient manifold is Seifert.

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Veröffentlicht in:Lobachevskii journal of mathematics 2021-05, Vol.42 (5), p.901-910
Hauptverfasser: Grines, V. Z., Gurevich, E. Ya, Kevlia, S. S.
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider a class of gradient-like flows on three-dimensional closed manifolds whose attractors and repellers belongs to a finite union of embedded surfaces and find conditions when the ambient manifold is Seifert.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221050061