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Knot Energy
(Kyung Hee University , RIRCM, OCAMI & BK21PLUS, 2019-07-31)
We discuss 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 total curvature, total ...
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 ...