Yazarlar
Yayınlar
- MakaleYalnız künye2025Ruled surfaces generated by Darboux and instantaneous Pfaff vectors of Salkowski curves in Euclidean 3-space
Mazlum, Sumeyye Gur; Haliscelik, Ebru Cakil; Bektas, Ozcan
In the present study ruled surfaces generated by Darboux and instantaneous Pfaff vectors of Salkowski curves in Euclidean 3-space are considered. Some geometric properties of these surfaces such as striction curves, surface normal vectors, tangent and asymptotic planes, distribution parameters, Gaussian and mean curvatures and fundamental forms are investigated. Some results and interpretations of these surfaces are obtained.
- MakaleYalnız künye2024RULED SURFACES GENERATED BY SALKOWSKI CURVE AND ITS FRENET VECTORS IN EUCLIDEAN 3-SPACE
Çakıl, Ebru; Mazlum, Sümeyye Gür
In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear com-bination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.
- MakaleYalnız künye2023ON THE SPHERICAL INDICATRIX CURVES OF THE SPACELIKE SALKOWSKI CURVE WITH TIMELIKE PRINCIPAL NORMAL IN LORENTZIAN 3-SPACE
Aksan, Birkan; Mazlum, Sumeyye Gur
In this paper, we calculate Frenet frames, Frenet derivative formulas, curvatures, arc lengths, geodesic curvatures according to the Lorentzian 3-space R31, Lorentzian sphere S21 and hyperbolic sphere H2 0 of the spherical indicatrix curves of the spacelike Salkowski curve with the timelike principal normal in R3 1 and draw the graphs of these indicatrix curves on the spheres.