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/