Author/Authors :
Kazaz, Mustafa Manisa Celal Bayar Üniversitesi, Muradiye Kampüsü - Fen Edebiyat Fakültesi - Matemetik Bölümü, Turkey , Uğurlu, Hasan Hüseyin Gazi University - Gazi Faculty of Education - Department of Secondary Education Science and Mathematics Teaching,Mathematics Teaching Program, Turkey , Önder, Mehmet Manisa Celal Bayar Üniversitesi, Muradiye Kampüsü - Fen Edebiyat Fakültesi - Matemetik Bölümü, Turkey , Oral, Seda Manisa Celal Bayar Üniversitesi, Muradiye Kampüsü - Fen Edebiyat Fakültesi - Matemetik Bölümü, Turkey
Abstract :
In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and byconsidering the Darboux frames of surface curves, we call these curves as Bertrand partner D‐curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
NaturalLanguageKeyword :
Bertrand Partner Curves , Darboux Frame , Geodesic , Principal Line , Asymptotic Curve
