On geodesic mappings in a particular class of Roter spaces
Volume 166 / 2021
                    
                    
                        Colloquium Mathematicum 166 (2021), 267-290                    
                                        
                        MSC: Primary 53B20, 53B21.                    
                                        
                        DOI: 10.4064/cm7797-1-2021                    
                                            
                            Published online: 17 May 2021                        
                                    
                                                Abstract
We determine a particular class of Roter warped product spaces. We show that every manifold of that class admits a non-trivial geodesic mapping onto some Roter warped product space. Moreover, both geodesically related manifolds are pseudosymmetric of constant type.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            