Simple conformally recurrent space-times are conformally recurrent pp-waves
Volume 150 / 2017
                    
                    
                        Colloquium Mathematicum 150 (2017), 9-20                    
                                        
                        MSC: Primary 53B30; Secondary 53C80.                    
                                        
                        DOI: 10.4064/cm7002s-11-2016                    
                                            
                            Published online: 21 August 2017                        
                                    
                                                Abstract
We show that in dimension $n\ge 4$ the class of simple conformally recurrent space-times coincides with the class of conformally recurrent pp-waves.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            