On Special Curves of General Hyperboloid in E31E13 E_{1}^{3}

Fatma ATEŞ

Makale detayları

On Special Curves of General Hyperboloid in E31E13 E_{1}^{3}

Yazarlar:

Fatma ATEŞ

Yayıncı:

Murat TOSUN

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Conference Proceedings of Science and Technology 2019 Vol.2 Issue 2, pp.119-125

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000767501

Sıklık:

Üç Aylık

pISSN:

2651-544X

Özet:

 


In this work, we give the Darboux vectors {γ(s),T(s),Y(s)}{γ(s),T(s),Y(s)}\{\gamma \left( s\right) ,T\left( s\right) ,Y\left( s\right)\} of a given curve using the hyperbolically motion and hyperbolically inner product defined by Simsek and Özdemir in \cite{ozd}. Then, we present the variations of the geodesic curvature function κg(s,w)κg(s,w)\kappa _{g}(s,w) and the speed function v(s,w)v(s,w)v(s,w) of the curve γγ \gamma  at w=0w=0w=0 . Also, we define the new type curves whose Darboux frame vectors of a given curve makes a constant angle with the constant Killing vector field and also we obtain the parametric characterizations of these curves. At the end of this article, we exemplify these curves on the general hyperboloid with their figures using the program Mathematica.

.

Makale detayları

On Special Curves of General Hyperboloid in E31E13 E_{1}^{3}

Yazarlar: Fatma ATEŞ

Yayıncı: Murat TOSUN

Ana Başlıklar: Uygulamalı fizik

Dergi: Conference Proceedings of Science and Technology 2019 Vol.2 Issue 2, pp.119-125

Belge Tipi: Makale

Yayın Tarihi: 11/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000767501

Sıklık: Üç Aylık

pISSN: 2651-544X

Sayı

Yazarlar:

Fatma ATEŞ

Yayıncı:

Murat TOSUN

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Conference Proceedings of Science and Technology 2019 Vol.2 Issue 2, pp.119-125

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000767501

Sıklık:

Üç Aylık

pISSN:

2651-544X