Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 6(26), Pages 56–69 (Mi vtgu361)  

This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

Fields on surfaces that are in a point correspondence

M. S. Bukhtyak, A. V. Nikul'chikov

Tomsk State University
Full-text PDF (917 kB) Citations (1)
References:
Abstract: A continuation of the honeycomb panel modeling research. The modes is based on a point correspondence of a pair of surfaces and on describing invariants accompanying the aforesaid geometrical construction and referred (mostly) to the “extrinsic geometry of surfaces”. The notion of joint curvatures of surfaces has been introduced, pertaining to those in point correspondence. Both scalar fields and associated vector fields generated by the surfaces' correspondence have been specified.
Keywords: pair of surfaces, point correspondence, local metric, first quadratic form, second quadratic form, joint curvatures.
Received: 10.09.2013
Document Type: Article
UDC: 519.711.3
Language: Russian
Citation: M. S. Bukhtyak, A. V. Nikul'chikov, “Fields on surfaces that are in a point correspondence”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 6(26), 56–69
Citation in format AMSBIB
\Bibitem{BukNik13}
\by M.~S.~Bukhtyak, A.~V.~Nikul'chikov
\paper Fields on surfaces that are in a~point correspondence
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 6(26)
\pages 56--69
\mathnet{http://mi.mathnet.ru/vtgu361}
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  • https://www.mathnet.ru/eng/vtgu361
  • https://www.mathnet.ru/eng/vtgu/y2013/i6/p56
  • This publication is cited in the following 1 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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    Abstract page:233
    Full-text PDF :79
    References:48
    First page:1
     
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