This paper is concerned with the problem of divisibility of vector fields with respect to the Lie bracket [X,Y]. We deal with the local divisibility. The methods used are based on various estimates, in particular those concerning prolongations of dynamical systems. A generalization to polynomials of the adjoint operator (X) is given.
@article{bwmeta1.element.bwnjournal-article-apmv58z1p19bwm,
author = {Andrzej Zajtz},
title = {Some division theorems for vector fields},
journal = {Annales Polonici Mathematici},
volume = {58},
year = {1993},
pages = {19-28},
zbl = {0779.17022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv58z1p19bwm}
}
Andrzej Zajtz. Some division theorems for vector fields. Annales Polonici Mathematici, Tome 58 (1993) pp. 19-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv58z1p19bwm/
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