Blaschke hypersurfaces with constant non-positive affine mean curvature
Volume 150 / 2017
                    
                    
                        Colloquium Mathematicum 150 (2017), 113-120                    
                                        
                        MSC: Primary 53A15; Secondary 53C21.                    
                                        
                        DOI: 10.4064/cm7155s-2-2017                    
                                            
                            Published online: 22 September 2017                        
                                    
                                                Abstract
We consider locally strongly convex complete Blaschke hypersurfaces with constant non-positive affine mean curvature and assume additional convexity properties to prove that the hypersurfaces are affine maximal.