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 ℝ² is described.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-16, author = {M. Sabatini}, title = {Commutativity of flows and injectivity of nonsingular mappings}, journal = {Annales Polonici Mathematici}, volume = {77}, year = {2001}, pages = {159-168}, zbl = {0987.37052}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-16} }
M. Sabatini. Commutativity of flows and injectivity of nonsingular mappings. Annales Polonici Mathematici, Tome 77 (2001) pp. 159-168. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-16/