Geodesic mappings onto semisymmetric spaces
type: Item
instance of: scholarly article
title: Geodesic mappings onto semisymmetric spaces
zbMATH Open document ID: 0835.53049
author: Josef Mikeš
published in: Russian Mathematics
publication date: 1995-11-06T00:00:00Z
review text: Geodesic mappings of Riemannian spaces onto semisymmetric equiaffine spaces and Riemannian spaces are studied. The author proves that compact semisymmetric Riemannian spaces of nonconstant curvature and non-Einsteinian Ricci-semisymmetric Riemannian spaces do not admit non-trivial global geodesic mappings. He finds new classes of equiaffine spaces which do not admit non-trivial geodesic mappings onto Riemannian spaces. Such spaces are determined, up to an affine transformation, by the configuration of their geodesic lines.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 795233
zbMATH Keywords: geodesic map
zbMATH Keywords: semisymmetric space
zbMATH Keywords: equiaffine space
zbMATH Keywords: Riemannian space
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 795233