Curvature homogeneity of affine connections on two-dimensional manifolds
Volume 81 / 1999
                    
                    
                        Colloquium Mathematicum 81 (1999), 123-139                    
                                        
                        DOI: 10.4064/cm-81-1-123-139                    
                                    
                                                Abstract
Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            