IJPAM: Volume 30, No. 2 (2006)
ON MAXIMAL PARALLELIZABLE REGIONS
OF FLOWS OF THE PLANE
OF FLOWS OF THE PLANE
Zbigniew Lesniak
Institute of Mathematics
Pedagogical University
2, Podchorazych, 30-084 Kraków, POLAND
e-mail: zlesniak@ap.krakow.pl
Institute of Mathematics
Pedagogical University
2, Podchorazych, 30-084 Kraków, POLAND
e-mail: zlesniak@ap.krakow.pl
Abstract.We consider maximal parallelizable regions of a flow of free mappings defined on the plane. We prove that each such a region is a union of equivalence classes of a relation. Moreover, we study the boundary of such regions by means the first prolongational limit sets.
Received: April 21, 2006
AMS Subject Classification: 39B12, 54H20, 37E30
Key Words and Phrases: parallelizable flow, free mapping, first prolongational limit set
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 2
