MATHEMATICS

Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in $E_4$

O. V. Vasil'eva^a, N. M. Onishchuk<sup>b

a</sup> Tomsk State University of Architecture and Building
^b Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: Nonholonomic analogue of double rotation hypersurface in $E_4$ is considered. It is shown that meridians and parallel lines are curvature lines of second kind in nonholonomic case. Their properties were investigated in dependence on the meanings of main curvatures of second kind.

Keywords: nonholonomic geometry, vector field.

UDC: 514.752


Accepted: February 28, 2008