On \(F\)-planar mappings onto Riemann spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0994.53008
author: Josef Mikeš
author: Věra Malícková
author: Olga Pokorná
publication date: 2001-09-02T00:00:00Z
full work available at URL: contents.html
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 1633262
zbMATH Keywords: \(F\)-planar mapping
zbMATH Keywords: holomorphically projective mapping
zbMATH Keywords: affine-connected spaces
zbMATH Keywords: Riemannian spaces
zbMATH Keywords: Kählerian spaces
MaRDI profile type: Publication
title: On \(F\)-planar mappings onto Riemann spaces
review text: From authors' abstract: In this paper we consider \(F\)-planar mappings from affine-connected spaces onto (pseudo-) Riemannian spaces. We find the equations of these mappings in the form of a system of Cauchy equations under some very general conditions. These results generalize the results obtained for geosetic, holomorphically projective and special \(F\)-planar mappings of Riemannian and Kählerian spaces, by N. S. Sinyukov, J. Mikeš, V. V. Domashev, I. N. Kurbatova, V. E. Berezovsky, M. Shiha. We continue the investigations of the \(F\)-planar mappings for covariantly constant structures.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].
reviewed by: Vasile Cruceanu
description: scientific article; zbMATH DE number 1633262