Some Applications on Spherical Indicatrices of the Helix Curve

Authors : Süleyman Şenyurt, Sümeyye Gür Mazlum

Pages : 154-175

Doi:10.54370/ordubtd.1438188

View : 46 | Download : 69

Publication Date : 2024-06-30

Article Type : Research Paper

Abstract :In this study, the Frenet elements of the curves that are drawn on the unit sphere by the unit vectors obtained from linear combinations of Frenet vectors of the helix curve are calculated. Moreover, Sabban frames of these curves are created and Smarandache curves are defined. Finally, the geodesic curvatures of each Smarandache curve are calculated.
Keywords : Geodezik eğrilik, helis eğrisi, Sabban çatısı, Smarandache eğrisi