Some division theorems for vector fields
Annales Polonici Mathematici (1993)
- Volume: 58, Issue: 1, page 19-28
- ISSN: 0066-2216
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topAndrzej Zajtz. "Some division theorems for vector fields." Annales Polonici Mathematici 58.1 (1993): 19-28. <http://eudml.org/doc/262287>.
@article{AndrzejZajtz1993,
abstract = {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.},
author = {Andrzej Zajtz},
journal = {Annales Polonici Mathematici},
keywords = {Lie bracket of vector fields; bounds to flow and its prolongations; Lie bracket of vector field; divisibility; homogeneous vector fields; prolongations of dynamical systems},
language = {eng},
number = {1},
pages = {19-28},
title = {Some division theorems for vector fields},
url = {http://eudml.org/doc/262287},
volume = {58},
year = {1993},
}
TY - JOUR
AU - Andrzej Zajtz
TI - Some division theorems for vector fields
JO - Annales Polonici Mathematici
PY - 1993
VL - 58
IS - 1
SP - 19
EP - 28
AB - 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.
LA - eng
KW - Lie bracket of vector fields; bounds to flow and its prolongations; Lie bracket of vector field; divisibility; homogeneous vector fields; prolongations of dynamical systems
UR - http://eudml.org/doc/262287
ER -
References
top- [1] E. Nelson, Topics in Dynamics, I. Flows, Princeton University Press, Princeton 1969. Zbl0197.10702
- [2] S. Sternberg, On the structure of local homeomorphisms of Euclidean n-space, II, Amer. J. Math. 80 (1958), 623-631. Zbl0083.31406
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