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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 6(26), Pages 56–69
(Mi vtgu361)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vtgu361 https://www.mathnet.ru/eng/vtgu/y2013/i6/p56
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Abstract page: | 233 | Full-text PDF : | 79 | References: | 48 | First page: | 1 |
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