Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in $E_4$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 11-22
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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.
@article{VTGU_2008_1_a1,
author = {O. V. Vasil'eva and N. M. Onishchuk},
title = {Meridians and {Parallel} {Lines} of {Nonholonomic} {Double} {Rotation} {Hypersurface} in~$E_4$},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {11--22},
year = {2008},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2008_1_a1/}
}
TY - JOUR AU - O. V. Vasil'eva AU - N. M. Onishchuk TI - Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in $E_4$ JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2008 SP - 11 EP - 22 IS - 1 UR - http://geodesic.mathdoc.fr/item/VTGU_2008_1_a1/ LA - ru ID - VTGU_2008_1_a1 ER -
%0 Journal Article %A O. V. Vasil'eva %A N. M. Onishchuk %T Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in $E_4$ %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2008 %P 11-22 %N 1 %U http://geodesic.mathdoc.fr/item/VTGU_2008_1_a1/ %G ru %F VTGU_2008_1_a1
O. V. Vasil'eva; N. M. Onishchuk. Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in $E_4$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 11-22. http://geodesic.mathdoc.fr/item/VTGU_2008_1_a1/