Parametrized Vector Fields and the Zero-Curvature Condition
Journal of Lie theory, Tome 16 (2006) no. 1, pp. 83-92
We apply the notion of a parametrized vector field on a manifold M, where the parameters are also in M, to the study of the zero-curvature condition that arises in the context of integrable systems.
Classification :
17B80, 17B66, 37K10, 35Q58
Mots-clés : Vector field, zero curvature condition, integrable system
Mots-clés : Vector field, zero curvature condition, integrable system
@article{JLT_2006_16_1_JLT_2006_16_1_a6,
author = {M. Rothstein},
title = {Parametrized {Vector} {Fields} and the {Zero-Curvature} {Condition}},
journal = {Journal of Lie theory},
pages = {83--92},
year = {2006},
volume = {16},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a6/}
}
M. Rothstein. Parametrized Vector Fields and the Zero-Curvature Condition. Journal of Lie theory, Tome 16 (2006) no. 1, pp. 83-92. http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a6/