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Browsing Matematik by Author "Caliskan, Abdussamet"

Browsing Matematik by Author "Caliskan, Abdussamet"

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  • Canal surfaces generated by special curves and quaternions 
    Caliskan, Abdussamet (SPRINGER HEIDELBERG-HEIDELBERG, 2023)
    In this paper, we show that canal and tubular surfaces can be obtained by special curves. Also, we give the equations of the canal and tubular surfaces given by the different frames. Besides, these surfaces are obtained ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Principal Normal Vectors Belonging to Striction Curves of Frenet and Bertrandian Frenet Ruled Surfaces 
    Caliskan, Abdussamet; Senyurt, Suleyman (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2017)
    In this study, principal normal vectors belonging to striction curves of Frenet and Bertrandian Frenet ruled surfaces were found. Also, it is examined whether these curves are included in Bertrand curves pair or not.
  • The Quaternionic Expression of Ruled Surfaces 
    Caliskan, Abdussamet; Senyurt, Suleyman (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)
    In this paper, firstly, the ruled surface is expressed as a spatial quaternionic. Also, the spatial quaternionic definitions of the Striction curve, the distribution parameter, angle of pitch and the pitch are given. ...
  • Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve 
    Caliskan, Abdussamet; Senyurt, Suleyman (SOC PARANAENSE MATEMATICA, JD AMERICAS, CAIXA POSTAL 19081, CURITIBA, PR 81531-990, BRAZIL, 2016)
    In this paper, we study the special Smarandache curve in terms of Sabban frame of Fixed Pole curve and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
  • Smarandache Curves of Bertrand Curves Pair According to Frenet Frame 
    Senyurt, Suleyman; Caliskan, Abdussamet; Celik, Unzile (SOC PARANAENSE MATEMATICA CURITIBA, 2021)
    In this paper, the curvature and the torsion of Smarandache curves obtained by the vectors of the Bertrand partner curve are calculated. These values are expressed depending upon the alpha curve. Besides, we illustrate ...

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