Position vectors of curves with recpect to Darboux frame in the Galilean space G³

Tevfik ŞAHİN; Buket Ceylan DİRİŞEN

doi:https://doi.org/10.31801/cfsuasmas.586095

Makale detayları

Position vectors of curves with recpect to Darboux frame in the Galilean space G³

Yazarlar:

Tevfik ŞAHİN | Buket Ceylan DİRİŞEN

Yayıncı:

Ankara University

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 2, pp.2079-2093

Belge Tipi:

Makale

Yayın Tarihi:

7/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000909367

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.586095

Özet:

 

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.

Makale detayları

Position vectors of curves with recpect to Darboux frame in the Galilean space G³

Yazarlar: Tevfik ŞAHİN | Buket Ceylan DİRİŞEN

Yayıncı: Ankara University

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 2, pp.2079-2093

Belge Tipi: Makale

Yayın Tarihi: 7/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000909367

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.586095

Sayı

Yazarlar:

Tevfik ŞAHİN | Buket Ceylan DİRİŞEN

Yayıncı:

Ankara University

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 2, pp.2079-2093

Belge Tipi:

Makale

Yayın Tarihi:

7/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000909367

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.586095