Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
Volume 121 / 2018
                    
                    
                        Annales Polonici Mathematici 121 (2018), 197-215                    
                                        
                        MSC: Primary 53C40; Secondary 53B05, 53B15, 53C05, 53A40.                    
                                        
                        DOI: 10.4064/ap171106-27-6                    
                                            
                            Published online: 31 October 2018                        
                                    
                                                Abstract
We obtain inequalities for statistical submanifolds of a statistical manifold of quasi-constant curvature. We also obtain the Chen–Ricci inequality and the generalized Wintgen inequality for this type of submanifolds.