Geodesic and holomorphically projective mappings of \(m\)-pseudo- and \(m\)-quasisymmetric Riemannian spaces
type: Item
instance of: scholarly article
title: Geodesic and holomorphically projective mappings of \(m\)-pseudo- and \(m\)-quasisymmetric Riemannian spaces
zbMATH Open document ID: 0890.53041
author: D. Massart
published in: Russian Mathematics
publication date: 1998-04-01T00:00:00Z
review text: This article is a generalisation of two results of the Ph. D. thesis of the first author. The \(m\)-pseudo space and \(m\)-quasisymmetric space are generalisations of semisymmetric, \(m\)-symmetric pseudosymmetric (generalized semisymmetric) and quasisymmetric spaces. Considering the geodesics in Riemannian space, the authors define a special class of Riemannian spaces and prove that these spaces are closed with respect to geodesic mappings. The same result is proved for Kähler spaces.
reviewed by: S. Noaghi
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1135533
zbMATH Keywords: quasisymmetric spaces
zbMATH Keywords: semisymmetric spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1135533