A NOTE ON SPECIAL CURVES IN E^4

Süha YILMAZ; Şuur NİZAMOĞLU

Makale detayları

A NOTE ON SPECIAL CURVES IN E^4

Yazarlar:

Süha YILMAZ | Şuur NİZAMOĞLU

Yayıncı:

Kirklareli University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Kirklareli University Journal of Engineering and Science 2016 Vol.2 Issue 1, pp.22-37

Belge Tipi:

Makale

Yayın Tarihi:

6/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000526117

Sıklık:

İki Yıllık

eISSN:

2458-7613

pISSN:

2458-7494

Özet:

 


This article has consisted of a part of doctorate thesis by Süha Yılmaz [7]. Firstly, Frenet formulas are given in E^4.

 Later, characterizations of regular and inclined curves are studied E^4. It has been given that a space-like curve is an inclined curve if and only if the

expression..........obtained using harmonic curvature functions in E^4. In addition, it has been observed that a fifth order vectorial differential equation of position vector of a space-like curve in E^4 been satisfied by means of Frenet formulas. Similarly, it has been denoted that a fourth order vectorial differential equation of tangent vector of a space-like curve in E^4 has been also verified using Frenet formulas. Moreover, we characterized tangent and trinormal indicatrices with one theorem. Finally, it has been denoted that if and only if spherical indicatrices of space-like curve with time-like trinormal vector are regular curves.

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Makale detayları

A NOTE ON SPECIAL CURVES IN E^4

Yazarlar: Süha YILMAZ | Şuur NİZAMOĞLU

Yayıncı: Kirklareli University

Ana Başlıklar: Uygulamalı fizik

Dergi: Kirklareli University Journal of Engineering and Science 2016 Vol.2 Issue 1, pp.22-37

Belge Tipi: Makale

Yayın Tarihi: 6/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000526117

Sıklık: İki Yıllık

eISSN: 2458-7613

pISSN: 2458-7494

Sayı

Yazarlar:

Süha YILMAZ | Şuur NİZAMOĞLU

Yayıncı:

Kirklareli University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Kirklareli University Journal of Engineering and Science 2016 Vol.2 Issue 1, pp.22-37

Belge Tipi:

Makale

Yayın Tarihi:

6/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000526117

Sıklık:

İki Yıllık

eISSN:

2458-7613

pISSN:

2458-7494