ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES
Abstract
In this study, de nition of involute-evolute curves for semi-dual quaternionic curves in semi-dual spaces D42 known as dual split quaternion and D31 are given and also some well-known theorems for involute-evolute dual split quaternionic curves are obtained.
Keywords
References
- [1] Bharathi, K. and Nagaraj, M. Quaternion valued function of a real variable Serret-Frenet formula, Indian Journal of Pure and Applied Mathematics 18: (1987), 507-511.
- [2] Bilici, M. and C alskan, M., On the Involutes of the Spacelike Curve with a Timelike Binormal in Minkowski 3-Space, International Mathematical Forum, 4 no 31 (2009), 1497-1509.
- [3] Blaschke, W., Diferensiyel Geometri Dersleri, _Istanbul Universitesi Yaynlar, 1949.
- [4] Boyer, C., A History of Mathematics, New York: Wiley, 1968.
- [5] Bukcu, B. and Karacan, M.K., On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3-space, Int. J. Math. Sciences, 2(5): (2007), 221-232.
- [6] Clifford, W. K., Preliminary skecth of biquaternions, Proceedings of London Math. Soc. 4, (1873), 361-395.
- [7] Çöken, A.C., Ekici, C., Kocayusufoglu, _I. and Gorgulu, A., Formulas for dual split quaternionic curves, Kuwait J. Sci. Eng.1A(36): (2009), 1-14
- [8] Çöken, A.C. and Tuna, A., On the quaternionic inclined curves in the semi-Euclidean space E42 , Applied Mathematics and Computation 155(2): (2004), 373-389.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 1, 2015
Submission Date
July 10, 2014
Acceptance Date
-
Published in Issue
Year 2015 Volume: 3 Number: 2
