Characterizations of Adjoint Curves According to Alternative Moving Frame

Authors : Ali Çakmak, Volkan Şahin

Pages : 42-50

Doi:10.33401/fujma.1001730

View : 19 | Download : 9

Publication Date : 2022-03-01

Article Type : Research

Abstract :In this paper, the adjoint curve is defined by using the alternative moving frame of a unit speed space curve in 3-dimensional Euclidean space. The relationships between Frenet vectors and alternative moving frame vectors of the curve are used to offer various characterizations. Besides, ruled surfaces are constructed with the curve and its adjoint curve, and their properties are examined. In the last section, there are examples of the curves and surfaces defined in the previous sections.
Keywords : Adjoint curve, Alternative moving frame, Distribution parameter, Ruled surface