Conjugacy of free mappings embedded in a flow
Sushil Bhunia, Gangotryi Sorcar
TL;DR
This paper characterizes when two free, fixed point free plane homeomorphisms embedded in flows are conjugate, using plane foliation theory, advancing understanding of their structural relationships.
Contribution
It provides a necessary and sufficient condition for conjugacy of free plane mappings embedded in flows, utilizing Haefliger-Reeb foliation theory.
Findings
Established a criterion for conjugacy of free plane homeomorphisms in flows
Connected plane foliation theory with free mapping conjugacy
Enhanced understanding of the structure of fixed point free homeomorphisms
Abstract
In this paper we study free mappings of the plane, that is orientation preserving fixed point free homeomorphisms of . We provide a necessary and sufficient condition under which two free mappings of the plane that are embedded in flows are conjugate to one another using Haefliger-Reeb theory of plane foliations.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows