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Browsing Matematik by Author "Canli, Davut"

Browsing Matematik by Author "Canli, Davut"

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  • ANOTHER APPLICATION OF SMARANDACHE BASED RULED SURFACES WITH THE DARBOUX VECTOR ACCORDING TO FRENET FRAME IN E3 
    Senyurt, Suleyman; Canli, Davut; Can, Elif; Mazlum, Sumeyye Gur (ANKARA UNIV, FAC SCI-ANKARA, 2023)
    In this study, we first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vec-tors ...
  • ASSOCIATED CURVES FROM A DIFFERENT POINT OF VIEW IN E3 
    Senyurt, Suleyman; Canli, Davut; Ayvaci, Kebire Hilal (ANKARA UNIV, FAC SCI-ANKARA, 2022)
    In this paper, tangent, principal normal and binormal wise asso-ciated curves are defined such that each of these vectors of any given curve lies on the osculating, normal and rectifying plane of its partner, respectively. ...
  • The Characterizations of Parallel q-Equidistant Ruled Surfaces 
    Li, Yanlin; Senyurt, Suleyman; Ozduran, Ahmet; Canli, Davut (MDPI-BASEL, 2022)
    In this paper, parallel q-equidistant ruled surfaces are defined such that the binormal vectors of given two differentiable curves are parallel along the striction curves of their corresponding binormal ruled surfaces, and ...
  • Family of Surfaces with a Common Bertrand D- Curve as Isogeodesic, Isoasymptotic and Line of Curvature 
    Senyurt, Suleyman; Ayvaci, Kebire Hilal; Canli, Davut (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS PRAIRIE VIEW, 2021)
    In this paper, we establish the necessary and sufficient conditions to parameterize a surface family on which the Bertrand D-partner of any given curve lies as isogeodesic, isoasymptotic or curvature line in E-3. Then, we ...
  • Family of Surfaces with a Common Special Involute and Evolute Curves 
    Senyurt, Suleyman; Ayvaci, Kebire Hilal; Canli, Davut (INT ELECTRONIC JOURNAL GEOMETRY-ANKARA, 2022)
    In this paper we define the necessary and sufficient conditions for both the involute and evolute of a given curve to be geodesic, asymptotic and curvature line on a parametric surface. Then, the first and second fundamental ...
  • Some special Smarandache ruled surfaces according to alternative frame in E3 
    Senyurt, Suleyman; Mazlum, Sumeyye Gur; Canli, Davut; Can, Elif (MAEJO UNIV-CHIANG MAI, 2023)
    In this study ruled surfaces formed by alternative unit vectors that draw these curves along Smarandache curves obtained from alternative vectors and alternative unit Darboux vectors of a differentiable curve are defined. ...
  • SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II 
    Senyurt, Suleyman; Canli, Davut; Can, Elif; Mazlum, Sumeyye Gur (HONAM MATHEMATICAL SOC-GWANGJU, 2022)
    In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. ...

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