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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2009, Number 3(7), Pages 42–55
(Mi vtgu71)
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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
Minimal non-holonomic torses of the sekond kind
N. M. Onishchuk, O. V. Tsokolova Tomsk State University, Faculty of Mechanics and Mathematics
Abstract:
We consider non-holonomic smooth two-dimensional distributions of planes with zero mean curvature and zero total curvature of the second kind in the three- dimensional Euclidean space $E_3$. They are called minimal non-holonomic torses of the second kind ($MNT-2$). We prove that there exist three types of $MNT-2$ and study geometric properties of all these types.
Keywords:
non-holonomic geometry, distribution of planes, Pfaffian equation, vector field.
Accepted: May 19, 2009
Citation:
N. M. Onishchuk, O. V. Tsokolova, “Minimal non-holonomic torses of the sekond kind”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2009, no. 3(7), 42–55
Linking options:
https://www.mathnet.ru/eng/vtgu71 https://www.mathnet.ru/eng/vtgu/y2009/i3/p42
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Abstract page: | 290 | Full-text PDF : | 73 | References: | 49 | First page: | 1 |
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