Browsing Главна колекција / Main Collection by Subject "curve"

Now showing items 1-4 of 4

    • Knot Energy 

      Velimirović, Ljubica; Najdanović, Marija; Rančić, Svetozar (Kyung Hee University , RIRCM, OCAMI & BK21PLUS, 2019-07-31)
      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 ...

    • Small deformations, variations and energies of curves 

      Najdanović, Marija
      Contrary to isometries as transformations that preserve distances, in- finitesimal bending is a type of small deformation in which the arc length is invariant with appropriate precision. The influence that given ...

    • 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 ...

    • Total Normalcy of Knots 

      Rančić, Svetozar; Najdanović, Marija; Velimirović, Ljubica (Faculty of Sciences and Mathematics, University of Niš, 2019-01-01)
      In this paper we consider first order infinitesimal bending of curves and knots. The total normalcy of the knot during the first order infinitesimal bending is discussed and expressions for the first variation of the total ...