Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space

Abdullah YILDIRIM

Makale detayları

Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space

Yazarlar:

Abdullah YILDIRIM

Yayıncı:

Süleyman Demirel University

Dergi:

Süleyman Demirel University Journal of Natural and Applied Sciences 2018 Vol.22 Issue 2, pp.608-614

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000554039

Sıklık:

Üç Yıllık

eISSN:

1308-6529

Özet:

 


In this paper, we study the tubular surface around  a spacelike focal curve in Lorentz 3-Space. First for better understanding of the subject, the definitions and equations of the canal surface around a regular curve in 3-dimensional Euclidean space  are given. Section 3, concerned with some important definitions and theorems about focal curves in 3-dimensional Lorentz space. In section 4, we derive equations for canal and tubular surfaces around a spacelike focal curve in 3-dimensional Lorentz. Then we obtain the first and the second fundamental forms  on the tubular surfaces in the same space. Gauss and mean curvatures of this surface are obtained. Finally, in this space it is investigated if the parameter curves for the tubular surface are geodesic or asymptotic and related theorems about them are stated and proved.

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Makale detayları

Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space

Yazarlar: Abdullah YILDIRIM

Yayıncı: Süleyman Demirel University

Dergi: Süleyman Demirel University Journal of Natural and Applied Sciences 2018 Vol.22 Issue 2, pp.608-614

Belge Tipi: Makale

Yayın Tarihi: 8/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000554039

Sıklık: Üç Yıllık

eISSN: 1308-6529

Sayı

Yazarlar:

Abdullah YILDIRIM

Yayıncı:

Süleyman Demirel University

Dergi:

Süleyman Demirel University Journal of Natural and Applied Sciences 2018 Vol.22 Issue 2, pp.608-614

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000554039

Sıklık:

Üç Yıllık

eISSN:

1308-6529