The local geometry of Carnot manifolds at singular points (Q647901)

The author considers a Carnot manifold whose defining vector fields are minimally smooth. It is stated that the local geometry of such manifolds is similar to the case when the defining vector fields are \(C^\infty\), i.e., the Rashevskii-Chow theorem holds (points can be joined by horizontal curves), and the tangent cone is constructed. The results include the case where the Carnot manifold may contain singular points. This version of the paper does not contain proofs of the results.