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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2011, Number 1(13), Pages 31–43 (Mi vtgu171)  
MATHEMATICS

Non-holonomic torses of the second kind

N. M. Onishuk, O. V. Tsokolova

Tomsk State University
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Abstract: Two-dimensional non-holonomic distributions of zero total curvature of the second kind (NT-2) are considered using Cartan's method and moving frames in the three-dimensional Euclidean space. Classification of NT-2 is presented and properties of invariant NT-2 curves are studied.
Keywords: non-holonomic geometry, distribution of planes, Pfaffian equation, vector field.

Accepted: October 30, 2010
Document Type: Article
UDC: 514.752
Language: Russian
Citation: N. M. Onishuk, O. V. Tsokolova, “Non-holonomic torses of the second kind”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 1(13), 31–43
Citation in format AMSBIB
\Bibitem{OniTso11}
\by N.~M.~Onishuk, O.~V.~Tsokolova
\paper Non-holonomic torses of the second kind
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2011
\issue 1(13)
\pages 31--43
\mathnet{http://mi.mathnet.ru/vtgu171}
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