Приказано за тему "variation"

Приказ резултата 1-5 од 5

    • Geodesic infinitesimal deformations of generalized Riemannian space 

      Najdanović, Marija; Velimirović, Ljubica; Vesić, Nenad (Birkhaeuser Verlag AG, 2022-05-11)
      Infinitesimal deformations of subspaces of a generalized Riemannian space are studied in this paper. Variations of some geometric objects are found. Necessary and sufficient conditions which provide the existence of a ...

    • 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 ...

    • 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 ...