On canonical quasi-geodesic mappings of recurrent-parabolic spaces

<p>Studying of the entered earlier quasi-geodesic mappings of recurrent parabolic spaces continues. The express class of such mappings - canonical quasi-geodesic mappings is allocated. Geometrical objects, invariant under considered mappings are constructed. Metrics of the recurrent  parabolic...

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Bibliographic Details
Main Authors: Ірина Миколаївна Курбатова, Дар'я Віталівна Лозієнко
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2018-01-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.gsjp.eu/index.php/geometry/article/view/773
Description
Summary:<p>Studying of the entered earlier quasi-geodesic mappings of recurrent parabolic spaces continues. The express class of such mappings - canonical quasi-geodesic mappings is allocated. Geometrical objects, invariant under considered mappings are constructed. Metrics of the recurrent  parabolic spaces admitting canonical  quasi-geodesic mappings on the flat space are found. The recurrent parabolic spaces with vector fields of particular type admitting canonical quasi-geodesic mappings  are indicated.</p>
ISSN:2072-9812
2409-8906