Journal of Knot Theory and Its Ramifications
(World Scientific Publishing Co. Pte. Ltd.)
•12 Sep 2019
Infinitesimal bending of knots and energy change
Kauffman, Louis • Velimirović, Ljubica • Najdanović, Marija • Rančić, Svetozar
Abstract
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 infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.
Funding
Ministry of Education, Science and Technological Development, Republic of Serbia [174012]
Author: Kauffman, Louis • Velimirović, Ljubica • Najdanović, Marija • Rančić, Svetozar
Issue: 11
ISSN: 0218-2165
doi: 10.1142/S0218216519400091
M kategorija: M23
Vrsta rada:clanak u casopisu
Funding: Ministry of Education, Science and Technological Development, Republic of Serbia [174012]
Abstract
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 infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.