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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2008, Number 1(2), Pages 11–22 (Mi vtgu80)  
MATHEMATICS

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

O. V. Vasil'evaa, N. M. Onishchukb

a Tomsk State University of Architecture and Building
b Tomsk State University, Faculty of Mechanics and Mathematics
Full-text PDF (365 kB)
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.

Accepted: February 28, 2008
Document Type: Article
UDC: 514.752
Language: Russian
Citation: O. V. Vasil'eva, N. M. Onishchuk, “Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in $E_4$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, no. 1(2), 11–22
Citation in format AMSBIB
\Bibitem{VasOni08}
\by O.~V.~Vasil'eva, N.~M.~Onishchuk
\paper Meridians and Parallel Lines of Nonholonomic Double Rotation Hypersurface in~$E_4$
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2008
\issue 1(2)
\pages 11--22
\mathnet{http://mi.mathnet.ru/vtgu80}
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    		Вестник Томского государственного университета. Математика и механика
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