Infinitesimal bending of knots and energy change
Louis H. KauffmanDepartment of Mathematics, Statistics and Computer Science, 851 South Morgan Street, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USALjubica S. VelimirovićFaculty of Science and Mathematics, University of Niš, Niš, SerbiaMarija S. NajdanovićSvetozar R. RančićFaculty of Science and Mathematics, University of Niš, Niš, Serbia
2019en
ABI
Abstract
We discuss the infinitesimal bending of curves and knots in [Formula: see text]. 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.
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Cited by 20 references