This article is cited 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.

UDC: 519.711.3

Received: 10.09.2013