Image Curves on the Parallel-like Surfaces in E³

Year 2023, Volume: 16 Issue: 1, 122 - 131, 30.04.2023

Semra Yurttançıkmaz , Ömer Tarakcı

https://doi.org/10.36890/iejg.1178434

Cited By: 1

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

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