Приказано за аутора "Rančić, Svetozar"

Приказ резултата 1-6 од 6

    • 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 ...

    • Knot Bending 

      Najdanović, Marija; Velimirović, Ljubica; Rančić, Svetozar
      In this paper we point out the geometric aspect of knots. By the term knot we mean a closed self-avoiding curve in a 3-dimensional Euclidean space. We consider infinitesimal bending of knots and examine the behavior of ...

    • 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 ...

    • 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 ...

    • THE TOTAL TORSION OF KNOTS UNDER SECOND ORDER INFINITESIMAL BENDING 

      Najdanović, Marija; Velimirović, Ljubica; Rančić, Svetozar (University of Belgrade - School of Electrical Engineering, 2021-10-26)
      In this paper we consider infinitesimal bending of the second order of curves and knots. The total torsion of the knot during the second order infinitesimal bending is discussed and expressions for the first and the ...