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The Geometry of the Accessible Sets of Vector Fields

A.Y.Narmanov, and I. Ganiev

Abstract. In this paper it is studied geometry of accessible sets of family of vector fields. It is proved that sets of 0- accessible sets are smooth submanifolds of an orbit. It is also proved that on the any manifold there is a system of vector fields consisting of three vector fields, such that each set of 0- accessible sets coincide with the manifold.

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