MATHEMATICS

Nonholonomic torses of the first kind in the four-dimensional Euclidean space

N. M. Onishchuk, O. V. Tsokolova

Tomsk State University

Abstract: Nonholonomic three-dimensional distributions with zero total curvature of the first kind are considered in $E_4$. There exist three types of such distributions depending on the values of the principal curvatures of the first kind. Geometry of each of them is studied.

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

UDC: 514.752

Received: 09.04.2011