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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2009, Number 3(7), Pages 42–55 (Mi vtgu71)  

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
Full-text PDF (938 kB) Citations (2)
References:
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
Document Type: Article
UDC: 514.752
Language: Russian
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
Citation in format AMSBIB
\Bibitem{OniTso09}
\by N.~M.~Onishchuk, O.~V.~Tsokolova
\paper Minimal non-holonomic torses of the sekond kind
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2009
\issue 3(7)
\pages 42--55
\mathnet{http://mi.mathnet.ru/vtgu71}
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  • https://www.mathnet.ru/eng/vtgu/y2009/i3/p42
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Томского государственного университета. Математика и механика
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    Full-text PDF :73
    References:49
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