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- Title
The total curvature of knots under second-order infinitesimal bending.
- Authors
Najdanović, Marija S.; Rančić, Svetozar R.; Kauffman, Louis H.; Velimirović, Ljubica S.
- Abstract
In this paper, we consider infinitesimal bending of the second-order of curves and knots. The total curvature of the knot during the second-order infinitesimal bending is discussed and expressions for the first and the second variation of the total curvature are given. Some examples aimed to illustrate infinitesimal bending of knots are shown using figures. Colors are used to illustrate curvature values at different points of bent knots and the total curvature is numerically calculated.
- Subjects
CURVATURE; KNOT theory; INFINITESIMAL geometry; BENDING moment; COLORING matter
- Publication
Journal of Knot Theory & Its Ramifications, 2019, Vol 28, Issue 1, pN.PAG
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216519500056