Some division theorems for vector fields
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 19-28
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
Lie bracket of vector fields, bounds to flow and its prolongations
Affiliations des auteurs :
Andrzej Zajtz 1
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author = {Andrzej Zajtz},
title = {Some division theorems for vector fields},
journal = {Annales Polonici Mathematici},
pages = {19--28},
publisher = {mathdoc},
volume = {58},
number = {1},
year = {1993},
doi = {10.4064/ap-58-1-19-28},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-1-19-28/}
}
Andrzej Zajtz. Some division theorems for vector fields. Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 19-28. doi: 10.4064/ap-58-1-19-28
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