Geodesic
Fields on surfaces that are in a~point correspondence
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 56-69

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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. 
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     author = {M. S. Bukhtyak and A. V. Nikul'chikov},
     title = {Fields on surfaces that are in a~point correspondence},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {56--69},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_6_a6/}
}
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M. S. Bukhtyak; A. V. Nikul'chikov. Fields on surfaces that are in a~point correspondence. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 56-69. http://geodesic.mathdoc.fr/item/VTGU_2013_6_a6/