Topological Conjugacy of the Simplest Nonsingular Three-Dimensional Flows

The simplest nonsingular flows on closed orientable 3-manifolds are studied. We establish that each class of topological equivalence of the simplest nonsingular flow on a lens consists of an infinite set of topological conjugacy classes. We obtain necessary and sufficient conditions for the topologi...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-01, Vol.269 (2), p.165-172
Main Authors: Dobrolyubova, A. L., Kruglov, V. E., Pochinka, O. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Three dimensional flow
Topology
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Summary:The simplest nonsingular flows on closed orientable 3-manifolds are studied. We establish that each class of topological equivalence of the simplest nonsingular flow on a lens consists of an infinite set of topological conjugacy classes. We obtain necessary and sufficient conditions for the topological conjugacy of the flows under consideration.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06267-7