Commutativity of flows and injectivity of nonsingular mappings
Volume 76 / 2001
                    
                    
                        Annales Polonici Mathematici 76 (2001), 159-168                    
                                        
                        MSC: 34C99.                    
                                        
                        DOI: 10.4064/ap76-1-16                    
                                    
                                                Abstract
A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ${\mathbb R}^2$ is described.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            