Приказано за аутора "Velimirović, Ljubica"

Приказ резултата 1-9 од 9

    • CURVES ON RULED SURFACES UNDER INFINITESIMAL BENDING 

      Najdanović, Marija; Maksimović, Miroslav; Velimirović, Ljubica (Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Republic of Serbia., 2021-01-01)
      Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder, the hyperbolic paraboloid and the helicoid ...

    • 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 DNA helices 

      Maksimović, Miroslav; Velimirović, Ljubica; Najdanović, Marija (Scientific and Technical Research Council of Turkey - TUBITAK^(Turkiye Bilimsel ve Teknik Arastirma Kurumu), 2021-01-21)
      The mathematics of DNA molecules is often studied as a double helix model. This paper focuses on the modelling of infinitesimal bending of DNA helices. The paper checks the flexibility of DNA molecule, i.e. the flexibility ...

    • 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 ...