Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space

Karacan, Murat Kemal; BÜKCÜ, BAHADDİN

Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space

Bahaddin BÜKCÜ, (Gaziosmanpaşa Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Tokat, Türkiye)

Murat Kemal KARACAN (Uşak Üniversitesi, Fen Fakültesi, Matematik Bölümü, Uşak, Türkiye)

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

6 1

Yıl: 2008 Cilt: 57 Sayı: 1 Sayfa Aralığı: 13 - 22 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space

Öz:

Bu çalışmada, Bishop [1] tarafından yapılan çalışmayı, spacelike asli normalli spacelike eğriler için Minkowski 3-uzayına genelleştirdik. İlaveten, spacelike eğriler için Bishop Darboux vektörü (matrisi) bulundu. Ayrıca, spacelike eğrinin T teğet vektörünün türevi kullanılarak, ($K,tau$) ve ($k_1,k_2$) eğrilik fonksiyonları arasındaki ilişkiler bulundu.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Öz:

In this study, we generalize for a spacelike curve with a spacelike principal normal which was studied by Bishop [1] to Minkowski 3-Space. In addition, the Bishop Darboux vector (matrix) for spacelike curve is found. Furthermore, using the derivative of the tangent vector T of the spacelike curve, the relations between the curvature funtions $K,tau$ and $k_1,k_2$ is found.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Bishop, L.R., "There is more than one way to frame a curve", Amer. Math. Monthly, Volume 82, Issue 3, 246-251, 1975.
[2] Petrovic-Torgasev, M., Sucurovic, E.,"Some Characterizations of The Lorentzian Spherical Timelike and Null", Matematiqki Vesnik,Vol:53, pp:21-27, 2001.
[3] O'Neill, B.,"Elemantary Differential Geometry", Academic Press, New York, 1966.

APA	BÜKCÜ B, Karacan M (2008). Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. , 13 - 22.
Chicago	BÜKCÜ BAHADDİN,Karacan Murat Kemal Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. (2008): 13 - 22.
MLA	BÜKCÜ BAHADDİN,Karacan Murat Kemal Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. , 2008, ss.13 - 22.
AMA	BÜKCÜ B,Karacan M Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. . 2008; 13 - 22.
Vancouver	BÜKCÜ B,Karacan M Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. . 2008; 13 - 22.
IEEE	BÜKCÜ B,Karacan M "Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space." , ss.13 - 22, 2008.
ISNAD	BÜKCÜ, BAHADDİN - Karacan, Murat Kemal. "Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space". (2008), 13-22.

APA	BÜKCÜ B, Karacan M (2008). Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 57(1), 13 - 22.
Chicago	BÜKCÜ BAHADDİN,Karacan Murat Kemal Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 57, no.1 (2008): 13 - 22.
MLA	BÜKCÜ BAHADDİN,Karacan Murat Kemal Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.57, no.1, 2008, ss.13 - 22.
AMA	BÜKCÜ B,Karacan M Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2008; 57(1): 13 - 22.
Vancouver	BÜKCÜ B,Karacan M Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2008; 57(1): 13 - 22.
IEEE	BÜKCÜ B,Karacan M "Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 57, ss.13 - 22, 2008.
ISNAD	BÜKCÜ, BAHADDİN - Karacan, Murat Kemal. "Bishop frame of the spacelike curve with a spacelike principal normal in Minkowski 3-space". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 57/1 (2008), 13-22.