• Analiza efekata primene GEOGEBRA-e na praćenje nastave geometrije 

      Maksimović, Miroslav; Kontrec, Nataša; Panić, Stefan; Petrović, Milena
      Istraživanja su pokazala da uprkos brojnim prednostima primene savremenih tehnologija u nastavi matematike sam proces uvođenja istih u učionice je spor i dosta složen. Upravo iz tih razloga, ovaj rad istražuje mogućnosti ...
    • Analysis of geodesics on different surfaces 

      Maksimović, Miroslav; Jovanović, Tanja; Ljajko, Eugen; Ivanović, Milica
      It is widely known that some surfaces contain special curves as a geodesics, while a lots of geodesics on surface have complicated shapes. Goal of this research is to find on what surfaces are u- and v- parameter curves ...
    • 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 ...
    • Einstein type curvature tensors and Einstein type tensors of generalized Riemannian space in the Eisenhart sense 

      Maksimović, Miroslav; Zlatanović, Milan
      By using decomposition of curvature tensors of generalized Riemannian space in the Eisenhart sense, the Einstein type curvature tensors and Einstein type tensors of that space are determined and defined. All these tensors ...
    • Flexibility of curves on a single-sheet hyperboloid 

      Maksimović, Miroslav
      Hyperbolic towers are towers in the shape of a single-sheet hyperboloid, and they are interesting in architecture. In this paper, we deal with the infinitesimal bending of a curve on a hyperboloid of one sheet; that is, we ...
    • 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 ...
    • Notes on product semi-symmetric connection in a locally decomposable Riemannian space 

      Maksimović, Miroslav; Stanković, Mića
      The purpose of this paper is to investigate the product semisymmetric connection in a locally decomposable Riemannian space. The curvature tensors of this connection were considered. Some properties of almost product ...
    • On a quarter-symmetric generalized metric connection in a generalized Riemannian manifold 

      Maksimović, Miroslav
      In this talk, we will discuss the generalized Riemannian manifold and introduce a quarter-symmetric connection that preserves the generalized Riemannian metric. We will also observe a quarter-symmetric connection with a ...
    • Some new identities for the second covariant derivative of the curvature tensor 

      Maksimović, Miroslav; Stanković, Mića
      In this paper, we have studied the second covariant derivative of Riemannian curvature tensor. Some new identities for the second covariant derivative have been given. Namely, identities obtained by cyclic sum with respect ...
    • USE OF GEOGEBRA IN THE STUDY OF ROTATIONS 

      Maksimović, Miroslav; Kontrec, Nataša; Panić, Stefan (Western Serbia Academy of Applied Studies, Užice (Serbia), 2021-10-08)
      With the development of information technologies and educational software, there was a need for research and examination of how and in what way to use them in teaching, without losing the quality of existing traditional ...
    • VISUALIZATION OF GEOMETRIC OBJECTS USING PROGRAM PACKAGE MATHEMATICA 

      Ljajko, Eugen; Najdanović, Marija; Maksimović, Miroslav; Kontrec, Nataša
      In geometry teaching, visualization is an indispensable method of work. Its importance is emphasized in the study of abstract theories when the human mind is not capable enough to perceive the regularities determined by ...