TY  - JOUR
T1  - Position vectors of curves with recpect to Darboux frame in the Galilean space G³
AU  - Şahin, Tevfik
AU  - Dirişen, Buket Ceylan
PY  - 2019
DA  - August
Y2  - 2019
DO  - 10.31801/cfsuasmas.586095
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 2079
EP  - 2093
VL  - 68
IS  - 2
LA  - en
AB  - 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.
KW  - Position vector
KW  - Darboux frame
KW  - geodesic
KW  - Galilean 3-space
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UR  - https://doi.org/10.31801/cfsuasmas.586095
L1  - https://dergipark.org.tr/en/download/article-file/751897
ER  -