Affiliation:
1. Necmettin Erbakan University, Department of Mathematics and Science Education, 42090 Meram / Konya, Turkey.
Abstract
The main purpose of this paper is to investigate unit speed curve with constant geodesic, normal curvature and geodesic torsion of curve on a surface in the Euclidean 3-space. In accordance with this scope, the position vector of a curve is stated by a linear combination of its Darboux Frame with differentiable functions. Some special results have been obtained within the scope of this position curve and differentiable functions. As a physical application of obtained results, differential geometric properties of a surface with binormal motion of a given curve are given with the obtained characterization of the curve.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Subject
General Earth and Planetary Sciences,General Environmental Science
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