Singularities and normal forms of generic 2-distributions on 3-manifolds
Volume 113 / 1995
Studia Mathematica 113 (1995), 223-248
DOI: 10.4064/sm-113-3-223-248
Abstract
We give a complete classification of germs of generic 2-distributions on 3-manifolds. By a 2-distribution we mean either a module generated by two vector fields (at singular points its dimension decreases) or a Pfaff equation, i.e. a module generated by a differential 1-form (at singular points the dimension of its kernel increases).