Geodesic and holomorphically projective mappings of \(m\)-pseudo- and \(m\)-quasisymmetric Riemannian spaces (Q1382677)

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.