A QUALITATIVE THEORY OF SIMILARITY PSEUDOGROUPS: HOLONOMY OF THE ORBITS WITH BUBBLES

Abstract

We are concerned with the qualitative theory of high codimension foliations. In order to restrict the object of our study, we consider the actions of a pseudogroup of local similarity transformations of a Euclidean space. For an orbit "with bubbles" of such an action, we obtain analogs of the qualitative properties of codimension one foliations.