Complex surfaces in $\mathbb{C}^4$ with recurrent shape operators
Tom 90 / 2007
                    
                    
                        Annales Polonici Mathematici 90 (2007), 265-276                    
                                        
                        MSC: Primary 53A15.                    
                                        
                        DOI: 10.4064/ap90-3-6                    
                                    
                                                Streszczenie
We study complex affine surfaces in $\mathbb C^4$ with the transversal bundle defined by Nomizu and Vrancken. We classify the surfaces that have recurrent shape operators and parallel transversal metric.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            