• Infinitesimal bending of knots and energy change 

      Kauffman, Louis; Velimirović, Ljubica; Najdanović, Marija; Rančić, Svetozar (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 ...
    • The total curvature of knots under second-order infinitesimal bending 

      Najdanović, Marija; Rančić, Svetozar; Kauffman, Louis; Velimirović, Ljubica (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 ...