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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2008, Number 3(4), Pages 10–21
(Mi vtgu109)
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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
Non-Holonomik Hyperplane in the Four-Dimensional Euclidean Space
N. M. Onishchuk Tomsk State University, Faculty of Mechanics and Mathematics
Abstract:
We consider a non-holonomic distribution of a particular form, the socalled non-holonomic hiperplane, and the vector field of its normal vectors $E_4$. There exists only one non-holonomic plane in $E_4$. It has no singular points. The equation of the non-holonomic hiperplane is obtained in a stationary coordinate system. We also study holonomic distributions that are invariantly connected with the non-holonomic hiperplane.
Keywords:
nonholonomic geometry, vector field.
Accepted: October 6, 2008
Citation:
N. M. Onishchuk, “Non-Holonomik Hyperplane in the Four-Dimensional Euclidean Space”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, no. 3(4), 10–21
Linking options:
https://www.mathnet.ru/eng/vtgu109 https://www.mathnet.ru/eng/vtgu/y2008/i3/p10
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Abstract page: | 176 | Full-text PDF : | 73 | First page: | 1 |
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