Yazar "Savas, Murat" seçeneğine göre listele

Listeleniyor 1 - 5 / 5
  • Küçük Resim Yok
    Öğe
    On the Schlafli differential formula based on edge lengths of tetrahedron in H-3 and S-3
    (SPRINGER, 2009) Yakut, Atakan T.; Savas, Murat; Kader, Serkan
    We obtain a new version of Schlafli differential formula based on edge lengths for the volume of a tetrahedron in hyperbolic and spherical 3-spaces, by using the edge matrix of a hyperbolic( or spherical) tetrahedron and its submatrix.
  • Küçük Resim Yok
    Öğe
    Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex
    (HINDAWI PUBLISHING CORP, 2015) Savas, Murat; Karliga, Baki; Yakut, Atakan T.
    Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of hyperbolic and spherical n-space.
  • Küçük Resim Yok
    Öğe
    The Smarandache Curves on H-0(2)
    (GAZI UNIV, 2016) Savas, Murat; Yakut, Atakan Tugkan; Tamirci, Tugba
    In this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results.
  • Küçük Resim Yok
    Öğe
    The smarandache curves on H0 2
    (Gazi Universitesi, 2016) Savas, Murat; Yakut, Atakan Tugkan; Tamirci, Tugba
    In this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results. © 2016 Gazi University Eti Mahallesi. All rights reserved.
  • Küçük Resim Yok
    Öğe
    The Smarandache Curves on S-1(2) and Its Duality on H-0(2)
    (HINDAWI LTD, 2014) Yakut, Atakan Tugkan; Savas, Murat; Tamirci, Tugba
    We introduce special Smarandache curves based on Sabban frame on S-1(2) and we investigate geodesic curvatures of Smarandache curves on de Sitter and hyperbolic spaces. The existence of duality between Smarandache curves on de Sitter space and Smarandache curves on hyperbolic space is shown. Furthermore, we give examples of our main results.