This article is cited in 2 papers

MATHEMATICS

Non-Holonomik Hyperplane in the Four-Dimensional Euclidean Space

N. M. Onishchuk

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: We consider a non-holonomic distribution of a particular form, the socalled non-holonomic hiperplane, and the vector field of its normal vectors $E_4$. There exists only one non-holonomic plane in $E_4$. It has no singular points. The equation of the non-holonomic hiperplane is obtained in a stationary coordinate system. We also study holonomic distributions that are invariantly connected with the non-holonomic hiperplane.

Keywords: nonholonomic geometry, vector field.

UDC: 514.752


Accepted: October 6, 2008