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2007 On Boundaries of Parallelizable Regions of Flows of Free Mappings
Zbigniew Leśniak
Abstr. Appl. Anal. 2007: 1-8 (2007). DOI: 10.1155/2007/31693

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.

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Zbigniew Leśniak. "On Boundaries of Parallelizable Regions of Flows of Free Mappings." Abstr. Appl. Anal. 2007 1 - 8, 2007. https://doi.org/10.1155/2007/31693

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1146.37026
MathSciNet: MR2353781
Digital Object Identifier: 10.1155/2007/31693

Rights: Copyright © 2007 Hindawi

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