MATHEMATICS

Extremal curves of geodesic torsion on a nonholonomic distribution

N. M. Onishchuk

Tomsk State University

Abstract: Nonholonomic 2-dimensional smooth distributions in the 3-dimensional Euclidean space are considered. Main attention is paid to studying geodesic torsion of invariant curves of the distribution.

Keywords: nonholonomic geometry, distribution of planes, Pfaffian equation, vector field.

UDC: 514.752

Received: 10.03.2013