On Boundaries of Parallelizable Regions of Flows of Free Mappings | Zendy

Zbigniew Leśniak | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Boundaries of Parallelizable Regions of Flows of Free Mappings

Author(s) -

Zbigniew Leśniak

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/31693

Subject(s) - parallelizable manifold , mathematics , boundary (topology) , limit (mathematics) , set (abstract data type) , point (geometry) , plane (geometry) , flow (mathematics) , orbit (dynamics) , limit point , mathematical analysis , pure mathematics , geometry , computer science , engineering , programming language , aerospace engineering

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research