Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2011, Number 3(15), Pages 32–40 (Mi vtgu205)  
MATHEMATICS

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

N. M. Onishchuk, O. V. Tsokolova

Tomsk State University
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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.
Received: 09.04.2011
Document Type: Article
UDC: 514.752
Language: Russian
Citation: N. M. Onishchuk, O. V. Tsokolova, “Nonholonomic torses of the first kind in the four-dimensional Euclidean space”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 3(15), 32–40
Citation in format AMSBIB
\Bibitem{OniTso11}
\by N.~M.~Onishchuk, O.~V.~Tsokolova
\paper Nonholonomic torses of the first kind in the four-dimensional Euclidean space
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2011
\issue 3(15)
\pages 32--40
\mathnet{http://mi.mathnet.ru/vtgu205}
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    		Вестник Томского государственного университета. Математика и механика
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