Infinitesimal bending of knots and energy change
Differential Geometry
2020-03-17 v1 Geometric Topology
Abstract
We discuss infinitesimal bending of curves and knots in R^{3}. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the Mobius energy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.
Cite
@article{arxiv.2003.07024,
title = {Infinitesimal bending of knots and energy change},
author = {Louis H. Kauffman and Ljubica S. Velimirovic and Marija S. Najdanovic and Svetozar R. Rancic},
journal= {arXiv preprint arXiv:2003.07024},
year = {2020}
}
Comments
16 pages, 4 figures, LaTeX document