On foliations associated with differential equations of conformal type (Q1083080)

If F is a codimension q foliation on M with trivial normal bundle defined by 1-forms \(w_ 1,...,w_ q\) such that \(dw_ i=\sum c_{ijk} w_ j\wedge w_ k\), \(c_{ijk}\in C^{\infty}(M)\), then F is a generalized Lie foliation. Generalizing the work of \textit{I. M. Singer} and \textit{S. Sternberg} [J. Anal. Math. 15, 1-114 (1965; Zbl 0277.58008)], the author defines prolongation. The major thrust of the paper is relating foliations with differential equations. The author's main result involves prolonging a foliation associated with a differential equation to a generalized Lie foliation.