Research Article

ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES

Volume: 3 Number: 2 October 1, 2015
EN

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. [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. [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. [3] Blaschke, W., Diferensiyel Geometri Dersleri, _Istanbul Universitesi Yaynlar, 1949.
  4. [4] Boyer, C., A History of Mathematics, New York: Wiley, 1968.
  5. [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. [6] Clifford, W. K., Preliminary skecth of biquaternions, Proceedings of London Math. Soc. 4, (1873), 361-395.
  7. [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. [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

Authors

Publication Date

October 1, 2015

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 2

APA
Ekıcı, C., & Tozak, H. (2015). ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES. Konuralp Journal of Mathematics, 3(2), 190-201. https://izlik.org/JA95RS73RB
AMA
1.Ekıcı C, Tozak H. ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES. Konuralp J. Math. 2015;3(2):190-201. https://izlik.org/JA95RS73RB
Chicago
Ekıcı, Cumali, and Hatice Tozak. 2015. “ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES”. Konuralp Journal of Mathematics 3 (2): 190-201. https://izlik.org/JA95RS73RB.
EndNote
Ekıcı C, Tozak H (October 1, 2015) ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES. Konuralp Journal of Mathematics 3 2 190–201.
IEEE
[1]C. Ekıcı and H. Tozak, “ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES”, Konuralp J. Math., vol. 3, no. 2, pp. 190–201, Oct. 2015, [Online]. Available: https://izlik.org/JA95RS73RB
ISNAD
Ekıcı, Cumali - Tozak, Hatice. “ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES”. Konuralp Journal of Mathematics 3/2 (October 1, 2015): 190-201. https://izlik.org/JA95RS73RB.
JAMA
1.Ekıcı C, Tozak H. ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES. Konuralp J. Math. 2015;3:190–201.
MLA
Ekıcı, Cumali, and Hatice Tozak. “ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES”. Konuralp Journal of Mathematics, vol. 3, no. 2, Oct. 2015, pp. 190-01, https://izlik.org/JA95RS73RB.
Vancouver
1.Cumali Ekıcı, Hatice Tozak. ON THE INVOLUTES FOR DUAL SPLIT QUATERNIONIC CURVES. Konuralp J. Math. [Internet]. 2015 Oct. 1;3(2):190-201. Available from: https://izlik.org/JA95RS73RB
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