Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestn. Tomsk. Gos. Univ. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2008, Number 3(4), Pages 10–21 (Mi vtgu109)  

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
Full-text PDF (692 kB) Citations (2)
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
Document Type: Article
UDC: 514.752
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Oni08}
\by N.~M.~Onishchuk
\paper Non-Holonomik Hyperplane in the Four-Dimensional Euclidean Space
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2008
\issue 3(4)
\pages 10--21
\mathnet{http://mi.mathnet.ru/vtgu109}
Linking options:
  • https://www.mathnet.ru/eng/vtgu109
  • https://www.mathnet.ru/eng/vtgu/y2008/i3/p10
  • 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
    Statistics & downloads:
    Abstract page:176
    Full-text PDF :73
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024