Research Article

Some Null Quaternionic Curves in Minkowski spaces

Volume: 14 Number: 4 December 28, 2018
EN

Some Null Quaternionic Curves in Minkowski spaces

Abstract

In this work, we examine null quaternionic rectifying curves and null quaternionic similar curves in Minkowski space E1^3. Also, we defined null quaternionic (1,3)-Bertrand partner curves in E1^4. Thus, we have characterizations between curvatures of these curves in Minkowski spaces.

Keywords

References

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  3. 3. Chen, B., When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? American Mathematical Monthly, 2003, 110, 2, 147-152.
  4. 4. Chen, B., Dillen, F., Rectifying Curves as Centrodes and Extremal Curves, Bulletin of the Instıtute of Mathematics Academia Sinica, 2005, 33, 2, 77-90.
  5. 5. Çöken, A.C., Tuna, A., On the quaternionic inclined curves in the Semi-Euclidean space , Applied Mathematics and Computation, 2004, 155, 373-389.
  6. 6. Çöken, A.C., Tuna, A., Null Quaternionic Curves in Semi-Euclidean 3-Space of Index v, Acta Physica Polonica A, 2015, 128, 2-B, 286-289.
  7. 7. Çöken, A.C., Tuna, A., Serret–Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space , Acta Physica Polonica A, 2015, 128, 2-B, 293-296.
  8. 8. El-Sabbagh, M.F., Ali, A.T., Similar Curves with Variable Transformations, Konuralp Journal of Mathematics, 2013, 1, 2, 80–90.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

December 28, 2018

Submission Date

January 8, 2018

Acceptance Date

October 8, 2018

Published in Issue

Year 2018 Volume: 14 Number: 4

APA
Kahraman, T. (2018). Some Null Quaternionic Curves in Minkowski spaces. Celal Bayar University Journal of Science, 14(4), 357-361. https://doi.org/10.18466/cbayarfbe.376273
AMA
1.Kahraman T. Some Null Quaternionic Curves in Minkowski spaces. CBUJOS. 2018;14(4):357-361. doi:10.18466/cbayarfbe.376273
Chicago
Kahraman, Tanju. 2018. “Some Null Quaternionic Curves in Minkowski Spaces”. Celal Bayar University Journal of Science 14 (4): 357-61. https://doi.org/10.18466/cbayarfbe.376273.
EndNote
Kahraman T (December 1, 2018) Some Null Quaternionic Curves in Minkowski spaces. Celal Bayar University Journal of Science 14 4 357–361.
IEEE
[1]T. Kahraman, “Some Null Quaternionic Curves in Minkowski spaces”, CBUJOS, vol. 14, no. 4, pp. 357–361, Dec. 2018, doi: 10.18466/cbayarfbe.376273.
ISNAD
Kahraman, Tanju. “Some Null Quaternionic Curves in Minkowski Spaces”. Celal Bayar University Journal of Science 14/4 (December 1, 2018): 357-361. https://doi.org/10.18466/cbayarfbe.376273.
JAMA
1.Kahraman T. Some Null Quaternionic Curves in Minkowski spaces. CBUJOS. 2018;14:357–361.
MLA
Kahraman, Tanju. “Some Null Quaternionic Curves in Minkowski Spaces”. Celal Bayar University Journal of Science, vol. 14, no. 4, Dec. 2018, pp. 357-61, doi:10.18466/cbayarfbe.376273.
Vancouver
1.Tanju Kahraman. Some Null Quaternionic Curves in Minkowski spaces. CBUJOS. 2018 Dec. 1;14(4):357-61. doi:10.18466/cbayarfbe.376273

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