MATHEMATICS

Non-holonomic torses of the second kind

N. M. Onishuk, O. V. Tsokolova

Tomsk State University

Abstract: Two-dimensional non-holonomic distributions of zero total curvature of the second kind (NT-2) are considered using Cartan's method and moving frames in the three-dimensional Euclidean space. Classification of NT-2 is presented and properties of invariant NT-2 curves are studied.

Keywords: non-holonomic geometry, distribution of planes, Pfaffian equation, vector field.

UDC: 514.752


Accepted: October 30, 2010