Knot Energy

Abstract

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 torsion and total normalcy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is used to present the deformation.