Image Curves on the Parallel-like Surfaces in E³

Authors : Semra YURTTANÇIKMAZ, Ömer TARAKCI

Pages : 122-131

Doi:10.36890/iejg.1178434

View : 8 | Download : 5

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :In this paper, it\`s introduced the curves lying on parallel-like surface M^{f} of a surface M in Euclidean space. Taking into account the definition of the parallel-like surface it\`s obtained parametric expression of these curves and examined the Darboux frame for these curves which we call image curves. And finally, the curves lying on the surfaces M and M^{f} are compared by considering their geodesic and normal curvatures, the geodesic torsion.
Keywords : Darboux frame, parallel like surfaces, image curves