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Browsing Matematik by Author "Senyurt, Suleyman"

Browsing Matematik by Author "Senyurt, Suleyman"

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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. ...
  • Characterizations of Bertrand curve pairs via new Frenet formulas 
    Senyurt, Suleyman; Cakir, Osman (YILDIZ TECHNICAL UNIV-ISTANBUL, 2023)
    In this article, we first introduce new Frenet formulas by making use of the properties of connected curves. Then applying these formulas we show that some decisive properties of Bertrand partner curve can be given in terms ...
  • 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 ...
  • CURVES AND RULED SURFACES ACCORDING TO ALTERNATIVE FRAME IN DUAL SPACE 
    Caliskan, Abdussamet; Senyurt, Suleyman (ANKARA UNIV, FAC SCI, DOGOL CADDESI, ANKARA, 06100, TURKEY, 2020)
    In this paper, the vectorial moments of the alternative vectors are expressed in terms of altrenative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces ...
  • The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space 
    Li, Yanlin; Mazlum, Sumeyye Gur; Senyurt, Suleyman (WORLD SCIENTIFIC PUBL CO PTE LTD-SINGAPORE, 2023)
    The parameter curves (c(1)) and (c(2)) intersecting under the angle theta on a timelike surface and any curve (c) passing through the same point with these curves have six different cases according to their causal characters. ...
  • The Dual Expression of Parallel Equidistant Ruled Surfaces in Euclidean 3-Space 
    Gur Mazlum, Sumeyye; Senyurt, Suleyman; Grilli, Luca (MDPI-BASEL, 2022)
    In this study, we examine the dual expression of Valeontis' concept of parallel p-equidistant ruled surfaces well known in Euclidean 3-space, according to the Study mapping. Furthermore, we show that the dual part of the ...
  • Dual Pole Indicatrix Curve and Surface 
    Senyurt, Suleyman; Caliskan, Abdussamet (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS-PRAIRIE VIEW, 2020)
    In this paper, the vectorial moment vector of the unit Darboux vector, which consists of the motion of the Frenet vectors on any curve, is reexpressed in the form of Frenet vectors. According to the new version of this ...
  • THE DUAL SPATIAL QUATERNIONIC EXPRESSION OF RULED SURFACES 
    Caliskan, Abdussamet; Senyurt, Suleyman (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)
    In this paper, the ruled surface which corresponds to a curve on dual unit sphere is rederived with the help of dual spatial quaternions. We extend the term of dual expression of ruled surface using dual spatial quaternionic ...
  • The Dual Spherical Curves and Surfaces In Terms of Vectorial Moments 
    Senyurt, Suleyman; Caliskan, Abdussamet (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS-PRAIRIE VIEW, 2022)
    In the article, the parametric expressions of the dual ruled surfaces are expressed in terms of the vectorial moments of the Frenet vectors. The integral invariants of these surfaces are calculated. It is seen that the ...
  • AN EXAMINATION OF PERPENDICULAR INTERSECTIONS OF BFRS AND MFRS IN E-3 
    Kilicoglu, Seyda; Senyurt, Suleyman (INST BIOPHYSICS & BIOMEDICAL ENGINEERING, BULGARIAN ACAD SCIENCES, ACAD GEORGI BONCHEV STR, BLOCK 21, SOFIA, 1113, BULGARIA, 2018)
    We already have defined and found the parametric equations of Frenet ruled surfaces which are called Bertrandian Frenet Ruled Surfaces (BFRS) and Mannheim Frenet Ruled Surfaces (MFRS) of a curve a, in terms of the Frenet ...
  • AN EXAMINATION ON HELIX AS INVOLUTE, BERTRAND MATE AND MANNHEIM PARTNER OF ANY CURVE alpha IN E-3 
    Kilicoglu, Seyda; Senyurt, Suleyman (INT CENTER SCIENTIFIC RESEARCH & STUDIES, HASHEMITE KINGDOM JORDEN, PO BOX 1077, IRBID, 21110, JORDAN, 2017)
    In this study we consider three offset curves of a curve a such as the involute curve alpha*, Bertrand mate alpha(1) and Mannheim partner alpha(2). We examined and find the conditions of Frenet apparatus of any curve alpha ...
  • AN EXAMINATION ON HELIX AS INVOLUTE, BERTRAND MATE AND MANNHEIM PARTNER OF ANY CURVE α IN E3 
    Senyurt, Suleyman; Kilicoglu, Seyda (INT CENTER SCIENTIFIC RESEARCH & STUDIES-IRBID, 2017)
    In this study we consider three offset curves of a curve a such as the involute curve alpha*, Bertrand mate alpha(1) and Mannheim partner alpha(2). We examined and find the conditions of Frenet apparatus of any curve alpha ...
  • 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 ...
  • HARMONICITY AND DIFFERENTIAL EQUATION OF INVOLUTE OF A CURVE IN E-3 
    Cakir, Osman; Senyurt, Suleyman (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)
    In this paper, we first give necessary conditions in which we can decide whether a given curve is biharmonic or 1-type harmonic and differential equations characterizing the regular curves. Then we research the Frenet ...
  • The Invariants of Dual Parallel Equidistant Ruled Surfaces 
    Mazlum, Sumeyye Gur; Senyurt, Suleyman; Grilli, Luca (MDPI-BASEL, 2023)
    In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of dual parallel equidistant ruled surfaces ...
  • THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE 
    Senyurt, Suleyman; Caliskan, Omer Faruk (INT ELECTRONIC JOURNAL GEOMETRYINT ELECTRONIC JOURNAL GEOMETRY, ANKARA 00000, TURKEY, 2013)
    In this paper, when (alpha, alpha*) timelike Bertrand curve couple is given, the geodesic curves and the arc-lenghts of the curvatures (T*), (N*), (B*) and the fixed pole curve (C*) which are generated over the S(1)(2)Lorentz ...
  • A New Approach On The Striction Curves Along Bertrandian Darboux Frenet Ruled Surface 
    Senyurt, Suleyman; Caliskan, Abdussamet (AMER INST PHYSICS-MELVILLE, 2016)
    In this paper, Bertrandian Darboux Frenet ruled surface and striction curve of this surface is defined depending on the angle between the tangent vectors of Bertrand curves pair. Also, we examined the situation of the ...
  • ON CHARACTERIZATIONS OF SPHERICAL CURVES USING FRENET LIKE CURVE FRAME 
    Eren, Kemal; Ayvaci, Kebire Hilal; Senyurt, Suleyman (HONAM MATHEMATICAL SOC-GWANGJU, 2022)
    In this study, we investigate the explicit characterization of spherical curves using the Flc (Frenet like curve) frame in Euclidean 3-space. Firstly, the axis of curvature and the osculating sphere of a polynomial space ...

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