A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space

MAĞDEN, ABDULLAH; Yilmaz, SUHA; UNLUTURK, YASİN

A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space

Süha YILMAZ, (Dokuz Eylül Üniversitesi, Buca Eğitim Fakültesi, İlköğretim Matematik Öğretmenliği Bölümü, İzmir, Türkiye)

Yasin ÜNLÜTÜRK, (Kırklareli Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Kırklareli,Türkiye)

Abdullah MAĞDEN (Atatürk Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Erzurum, Türkiye)

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Yıl: 2016 Cilt: 20 Sayı: 2 Sayfa Aralığı: 325 - 335 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space

Öz:

Bu çalışmada, E_1^3 de Bishop çatısının yeni bir yorumuna göre null olmayan eğrilerin klasik diferensiyel geometrisini inceliyoruz. Bu yeni yorumlanan çatıyı, 2. Tip Bishop çatısı şeklinde adlandırıyoruz. Öncelikle, bir adi diferensiyel denklem sistemi elde etmek suretiyle, regüler ve null olmayan eğrilerin konum vektörünü araştırıyoruz. Bu sistemin çözümü,E_1^3 de 2. tip Bishop çatısın göre konum vektörünün bileşenlerini verir. Bununla birlikte, bu yeni çatıya göre 1 de 2. tip Bishop çatısın göre konum vektörünün bileşenlerini verir. Bununla birlikte, bu yeni çatıya göre birinci, ikinci ve üçüncü mertebeden Bishop düzlemlerini tanımlıyoruz ve bu düzlemlere bağlı olarak E de konum vektörlerini karakterize ediyoruz.

Anahtar Kelime:

Minkowski 3-uzayda 2. tip Bishop çatısına göre null olmayan eğrilerin karakterizasyonlarına dair bir inceleme

Öz:

In this work, we study classical differential geometry of non-null curves according to the new version of Bishop frame in E_1^3 which we call it along the work as "the Bishop frame of type-2". First, we investigate position vector of a regular and non-null curve by obtaining a system of ordinary differential equations. The solution of the system gives the components of the position vector with respect to the Bishop frame of type-2 in E. Moreover, we define the first, second and third order Bishop planes according to this new frame, and also, regardig to these planes, we characterize position vectors in E_1^3.

Anahtar Kelime:

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

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APA	Yilmaz S, UNLUTURK Y, MAĞDEN A (2016). A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. , 325 - 335.
Chicago	Yilmaz SUHA,UNLUTURK YASİN,MAĞDEN ABDULLAH A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. (2016): 325 - 335.
MLA	Yilmaz SUHA,UNLUTURK YASİN,MAĞDEN ABDULLAH A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. , 2016, ss.325 - 335.
AMA	Yilmaz S,UNLUTURK Y,MAĞDEN A A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. . 2016; 325 - 335.
Vancouver	Yilmaz S,UNLUTURK Y,MAĞDEN A A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. . 2016; 325 - 335.
IEEE	Yilmaz S,UNLUTURK Y,MAĞDEN A "A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space." , ss.325 - 335, 2016.
ISNAD	Yilmaz, SUHA vd. "A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space". (2016), 325-335.

APA	Yilmaz S, UNLUTURK Y, MAĞDEN A (2016). A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(2), 325 - 335.
Chicago	Yilmaz SUHA,UNLUTURK YASİN,MAĞDEN ABDULLAH A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20, no.2 (2016): 325 - 335.
MLA	Yilmaz SUHA,UNLUTURK YASİN,MAĞDEN ABDULLAH A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.20, no.2, 2016, ss.325 - 335.
AMA	Yilmaz S,UNLUTURK Y,MAĞDEN A A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 20(2): 325 - 335.
Vancouver	Yilmaz S,UNLUTURK Y,MAĞDEN A A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 20(2): 325 - 335.
IEEE	Yilmaz S,UNLUTURK Y,MAĞDEN A "A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space." Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20, ss.325 - 335, 2016.
ISNAD	Yilmaz, SUHA vd. "A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space". Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/2 (2016), 325-335.