Quest for Research Excellence on Computing, Mathematics and Statistics

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.