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The total curvature of knots under second-order infinitesimal bending
(World Scientific Publishing Co. Pte. Ltd., 2019-01-03)
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 ...
Infinitesimal bending of knots and energy change
(World Scientific Publishing Co. Pte. Ltd., 2019-09-12)
We discuss the infinitesimal bending of curves and knots in R3. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the Möbius energy under ...