AN EXAMINATION ON THE MANNHEIM FRENET RULED SURFACE BASED ON NORMAL VECTOR FIELDS IN E33^{3}

SEYDA KILICOGLU

Makale detayları

AN EXAMINATION ON THE MANNHEIM FRENET RULED SURFACE BASED ON NORMAL VECTOR FIELDS IN E33^{3}

Yazarlar:

SEYDA KILICOGLU

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2016 Vol.4 Issue 2, pp.223-229

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000536492

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


In this paper we consider six special Frenet ruled surfaces along to the Mannheim pairs {α∗,α}{α∗,α}\left\{ \alpha ^{\ast },\alpha \right\} . First we define and find the parametric equations of Frenet ruled surfaces which are called % Mannheim FrenetFrenetFrenet ruledruledruled surfacesurfacesurface, along Mannheim curve α,α,\alpha , in terms of the Frenet apparatus of Mannheim curve α.α.\alpha . Later, \ we find only one matrix gives us all nine positions of normal vector fields of these six Frenet ruled surfaces and MannheimMannheimMannheim FrenetFrenetFrenet ruledruledruled surfacesurfacesurface in terms of Frenet apparatus of Mannheim curve αα\alpha  too. Further using that matrix we have some results such as; normal ruled surface and MannheimMannheimMannheim % normal ruledruledruled surfacesurfacesurface of Mannheim curve αα\alpha  have perpendicular normal vector fields along the curve φ2(s)=α+φ2(s)=α+\varphi _{2}\left( s\right) =\alpha +% \frac{\tan \theta }{k_{1}\tan \theta -k_{2}}V_{2}, \ under the condition % \tan \theta \neq \frac{k_{2}}{k_{1}}.

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Makale detayları

AN EXAMINATION ON THE MANNHEIM FRENET RULED SURFACE BASED ON NORMAL VECTOR FIELDS IN E33^{3}

Yazarlar: SEYDA KILICOGLU

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2016 Vol.4 Issue 2, pp.223-229

Belge Tipi: Makale

Yayın Tarihi: 9/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000536492

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

SEYDA KILICOGLU

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2016 Vol.4 Issue 2, pp.223-229

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000536492

Sıklık:

İki Yıllık

eISSN:

2147-625X