Slicing of generalized surfaces with curvature measures and diameter's estimate
Volume 64 / 1996
                    
                    
                        Annales Polonici Mathematici 64 (1996), 267-283                    
                                        
                        DOI: 10.4064/ap-64-3-267-283                    
                                    
                                                Abstract
We prove generalizations of Meusnier's theorem and Fenchel's inequality for a class of generalized surfaces with curvature measures. Moreover, we apply them to obtain a diameter estimate.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            