Geodesic
Some division theorems for vector fields
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 19-28
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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.
DOI : 10.4064/ap-58-1-19-28
Keywords: Lie bracket of vector fields, bounds to flow and its prolongations 
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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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