
Journal of Lie Theory 16 (2006), No. 1, 083092 Copyright Heldermann Verlag 2006 Parametrized Vector Fields and the ZeroCurvature Condition Mitchell Rothstein Dept. of Mathematics, University of Georgia, Athens, GA 30602, U.S.A. rothstei@math.uga.edu 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 zerocurvature condition that arises in the context of integrable systems. Keywords: Vector field, zero curvature condition, integrable system. MSC: 17B80, 17B66, 37K10, 35Q58 [ Fulltextpdf (163 KB)] for subscribers only. 