ON THE SPHERICAL INDICATRIX CURVES OF THE SPACELIKE SALKOWSKI CURVE WITH TIMELIKE PRINCIPAL NORMAL IN LORENTZIAN 3-SPACE
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Birkan Aksan (Department of Mathematical Engineering, Gumushane University) ; Sumeyye Gur Mazlum (Department of Computer Technology, Gumushane University) Received : 2023.01.11 Accepted : 2023.03.28 Published : 2023.09.14Abstract
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.
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http://koreascience.or.kr/article/JAKO202326881474152.pagehttps://hdl.handle.net/20.500.12440/6138
