MİNKOWSKİ 3 UZAYINDA ZAMANSI V-MANNHEİM EĞRİLER

Year 2022, Volume: 3 Issue: 5, 58 - 71, 30.06.2022

Eray Avcı , Çetin Camcı

Abstract

Bu çalışmada, yeni bir tip Mannheim eğrisi olan zamansı V-Mannheim eğri Minkowski 3-uzayında karakterize edildi. Zamansı V-Mannheim eğriden hareketle zamansı T, N ve B Mannheim eğriler elde edildi.

Keywords

V-Manhheim Eğri, Zamansı V-Mannheim Eğri, Minkowski 3 Uzayı

Project Number

FYL-2019-2926

TIMELIKE V-MANNHEIM CURVES IN MINKOWSKI 3-SPACE E_1^3

Abstract

In this paper, timelike V-Mannheim curve, a new type Mannheim curve in Minkowski 3-Space E_1^3 is characterized. Based on the timelike V-Mannheim curve, the properties of the timelike T, N, and B Mannheim curves are obtained.

Keywords

V-Mannheim Curve, Timelike V-Mannheim Curve, Minkowski 3-Space

Supporting Institution

Çanakkale Onsekiz Mart Üniversitesi BAP Birimi

Project Number

FYL-2019-2926

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Canakkale Onsekiz Mart University, Grant Number: FYL-2019-2926. We thank to the Office of Scientific Research Projects Coordination at Canakkale Onsekiz Mart University.

References

• Avcı, E., 2021. Minkowski 3-uzayında V-Mannheim eğri çiftleri. ÇOMÜ Lisansüstü Eğitim Enstitüsü, Matematik Anabilim Dalı, Yüksek lisans tezi s.54
• Blum. R. 1966. A remarkable class of Mannheim curves. Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 223 – 228 .
• Camcı, Ç. 2019. How can we construct a k-slant curve from a given spherical curve? arXiv:1912.13392 .
• Camcı, Ç. 2021. On V-Mannheim Curve. arXiv:2101.02021.
• Chen, B. Y. 2003. When does the position vector of a space curve always lie in its rectifying plane? Amer. Math. Monthly, 2003, 110 147-152.
• Çoşkun, Ö., 2016. 3-boyutlu Öklid ve Minkowski uzaylarında Mannheim eğri çiftleri (Yüksek lisans tezi).
• Ergüt, M., Öztekin, H. B., 2011. Null mannheim curves in the Minkowski 3-space E_1^3.Turk J Math 35 (2011) , 107 – 114.
• Hacısalihoğlu, H. H. Diferensiyel Geometri 1. Cilt, Ankara Üniversitesi Fen Fakültesi, 1998.
• Izumiya S, Takeuchi N., 2002. Generic Properties of Helices and Bertrand Curves. J. geom., 74, 97-109.
• İlarslan, K., Grobovic, M., ve Nesovic, E., 2012. On null and pseudo null Mannheim Curves in Minkowski 3-Space. Journal of Geometry volume 105, pages177–183.
• Liu, H., Wang, F., 2008. Mannheim Partner Curve in 3-Space. Journal of Geometry volume 88, pages120–126.
• Matsuda, H., Yorozu, S., 2009. On generalized Mannheim curves in Euclidean 4-Space Nihonkai Math. J. Vol.20(2009), 33–56.
• Onder, M., Uğurlu, H. H., 2009. Mannheim Offsets of timelike ruled Surfaces in Minkowski 3- space arXiv:0906.2077. Onder, M., Uğurlu, H. H., 2009. Mannheim Offsets of Spacelike ruled Surfaces in Minkowski 3- space arXiv:0906.4660.
• Orbay, K., Kasap, E., Aydemir, İ., 2009. Mannheim Offsets of Ruled Surfaces Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2009, Article ID 160917, 9 pages.
• Orbay, K., Kasap, E., 2009. On Mannheim Partner Curves in E^3 International Journal of Physical Sciences Vol. 4 (5), pp. 261-264.