On Canonical F-planar Mappings of Spaces with Affine Connection
No Thumbnail Available
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Sciences and Mathematics, University of Niˇs, Serbia
Abstract
In this paper we study the theory of F-planar mappings of spaces with affne connection. We
obtained condition, which preserved the curvature tensor. We also studied canonical F-planar mappings
of space with affne connection onto symmetric spaces. In this case, the main equations have the partial
differential Cauchy type form in covariant derivatives. We got the set of substantial real parameters on
which depends the general solution of that PDE’s system.
Description
Keywords
geodesic mappings, affne connection
Citation
Berezovski V., Mikeˇs J., Peˇska P., R´yparov´a L. On Canonical F-planar Mappings of Spaces with Affine Connection // Filomat 33:4 (2019), 1273–1278