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.