Singularities and normal forms of smooth distributions
In this expository paper we present main results (from classical to recent) on local classification of smooth distributions.
In this expository paper we present main results (from classical to recent) on local classification of smooth distributions.
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).
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