On Boundaries of Parallelizable Regions of Flows of Free Mappings

Zbigniew Leśniak

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

Abstract: We are interested in the first prolongational limit set of the boundary of parallelizable regions of a given flow of the plane which has no fixed points. We prove that for every point from the boundary of a maximal parallelizable region, there exists exactly one orbit contained in this region which is a subset of the first prolongational limit set of the point. Using these uniquely determined orbits, we study the structure of maximal parallelizable regions.

Date: 2007
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https://doi.org/10.1155/2007/31693

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:031693

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