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Position vectors of curves with recpect to Darboux frame in the Galilean space G³
2019
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
Abstract:

In this paper, we investigate the position vector of a curve on the surface in the Galilean 3-space G³. Firstly, the position vector of a curve with respect to the Darboux frame is determined. Secondly, we obtain the standard representation of the position vector of the curve with respect to Darboux frame in terms of the geodesic, normal curvature and geodesic torsion. As a result of this, we define the position vectors of geodesic, asymptotic and normal line along with some special curves with respect to Darboux frame. Finally, we elaborate on some examples and provide their graphs.

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2019
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Journal Type :   Ulusal

Metrics
Article : 1.028
Cite : 282
2023 Impact : 0.025
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics