Research Article
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The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3)

Year 2010, Volume 6, Issue 2, 155 - 160, 01.06.2010

Abstract

In this paper, the space-like surface with space-like directional vector and the ruled surfaces generated by Frenet vectors of the base curve of this surface have been investigated in the Minkowski space 3 1 IR . As a first step, it is obtained the distribution parameters, the main curvatures and the Gaussian curvatures of these surfaces. Some new results and theorems have been given related to be developable and minimal of these surfaces. Moreover, some new relationships among geodesic curvature, normal curvature and geodesic torsion of the base curve of the space-like ruled surface with space-like directional vector have been found. 

IR UZAYINDA BİR EĞRİNİN FRENET VEKTÖRLERİ İLE OLUŞTURULAN REGLE YÜZEYLER

Year 2010, Volume 6, Issue 2, 155 - 160, 01.06.2010

Abstract

Bu çalışmada, 3 1 IR Minkowski uzayında space-like doğrultman vektörlü space-like yüzey ile bu yüzeyin dayanak eğrisinin Frenet vektörleri ile oluşturulan regle yüzeyler incelendi. İlk olarak bu yüzeylerin dağılma parametreleri, ortalama eğrilikleri ve Gauss eğrilikleri hesaplandı. Bu yüzeylerin açılabilir ve minimal olmaları ile ilgili bazı yeni teoremler ve sonuçlar verildi. Ayrıca space-like doğrultman vektörlü space-like regle yüzeyin dayanak eğrisinin geodezik eğriliği, normal eğriliği ve geodezik torsiyonu arasında bazı yeni bağıntılar elde edildi.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Keziban ORBAY>

0000-0002-7642-4139


İsmail AYDEMİR This is me

Publication Date June 1, 2010
Acceptance Date
Published in Issue Year 2010, Volume 6, Issue 2

Cite

Bibtex @research article { cbayarfbe53383, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {}, publisher = {Celal Bayar University}, year = {2010}, volume = {6}, number = {2}, pages = {155 - 160}, title = {The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3)}, key = {cite}, author = {Orbay, Keziban and Aydemir, İsmail} }
APA Orbay, K. & Aydemir, İ. (2010). The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3) . Celal Bayar University Journal of Science , 6 (2) , 155-160 . Retrieved from https://dergipark.org.tr/en/pub/cbayarfbe/issue/4050/53383
MLA Orbay, K. , Aydemir, İ. "The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3)" . Celal Bayar University Journal of Science 6 (2010 ): 155-160 <https://dergipark.org.tr/en/pub/cbayarfbe/issue/4050/53383>
Chicago Orbay, K. , Aydemir, İ. "The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3)". Celal Bayar University Journal of Science 6 (2010 ): 155-160
RIS TY - JOUR T1 - The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3) AU - KezibanOrbay, İsmailAydemir Y1 - 2010 PY - 2010 N1 - DO - T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 155 EP - 160 VL - 6 IS - 2 SN - 1305-130X-1305-1385 M3 - UR - Y2 - 2022 ER -
EndNote %0 Celal Bayar University Journal of Science The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3) %A Keziban Orbay , İsmail Aydemir %T The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3) %D 2010 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 6 %N 2 %R %U
ISNAD Orbay, Keziban , Aydemir, İsmail . "The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3)". Celal Bayar University Journal of Science 6 / 2 (June 2010): 155-160 .
AMA Orbay K. , Aydemir İ. The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3). CBUJOS. 2010; 6(2): 155-160.
Vancouver Orbay K. , Aydemir İ. The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3). Celal Bayar University Journal of Science. 2010; 6(2): 155-160.
IEEE K. Orbay and İ. Aydemir , "The Ruled Surfaces Generated By Frenet Vectors of A Curve in IR(1,3)", Celal Bayar University Journal of Science, vol. 6, no. 2, pp. 155-160, Jun. 2010