Infinitesimal \(F\) -planar transformations
type: Item
instance of: scholarly article
title: Infinitesimal \(F\) -planar transformations
zbMATH Open document ID: 1162.53008
DOI: 10.3103/S1066369X08040026
author: I. Hinterleitner
author: J. Stránská
author: Josef Mikeš
published in: Russian Mathematics
publication date: 2009-03-26T00:00:00Z
review text: Let us consider a symmetric linear connection and \(F\), a tensor field of \((1,1)\)-type on a manifold \(A_n\). An infinitesimal transformation of \(A_n\) is called \(F\)-\textit{planar} it it maps \(F\)-planar curves onto curves which are \(F\)-planar in their principal parts. The present paper is devoted to a study of these transformations considered as a generalization of infinitesimal geodesic transformations.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53B05
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 5533465
zbMATH Keywords: \(F\)-planar map
zbMATH Keywords: affine connected space
zbMATH Keywords: projective transformation
zbMATH Keywords: infinitesimal \(F\)-planar map
MaRDI profile type: Publication
cites work: Q3660453
cites work: Holomorphically projective mappings and their generalizations
cites work: Q3594209
cites work: Q3928614
cites work: Q3732486
cites work: Geodesic mappings of affine-connected and Riemannian spaces
description: scientific article; zbMATH DE number 5533465