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On a Study of the Quaternionic Lorentzian Curve

Year 2018, , 937 - 940, 01.12.2018
https://doi.org/10.2339/politeknik.389626

Abstract

In this study,
Serret-Frenet Formulas for a space-quaternionic curve were obtained by
considering quaternions and pseudo-quaternions in three-dimensional Lorentz
Space




















. The Serret-Frenet Formulas for a
Quaternionic Lorentz Curve


 were then re-derived using them. 

References

  • 1. Bharathi K. and M. Nagaraj, “Geometry of Quaternionic and Pseudo-Quaternionic Multiplications”, Ind. J. P. App. Math., 16(7): 741-756, (1985).
  • 2. Bharathi K. and Nagaraj M., “Quaternion Valued Function of a Real Variable Serret-Frenet Formulae”, Ind. J. P. App. Math., 18(6): 507-511, (1987).
  • 3. Sivridag A. I., Gunes R. and Keles S., “The Serret-Frenet Formulae for Dual Quaternion Valued Functions of a Single Real Variable”, Mechanism and Machine Theory, 29(5): 749-754, (1994).
  • 4. M. Karadag, “Helixes and Characterisations on the Quaternionic Lorentz Manifolds”, Doctoral Dissertation, University of Inonu, (1999).

On a Study of the Quaternionic Lorentzian Curve

Year 2018, , 937 - 940, 01.12.2018
https://doi.org/10.2339/politeknik.389626

Abstract

In this study,
Serret-Frenet Formulas for a space-quaternionic curve were obtained by
considering quaternions and pseudo-quaternions in three-dimensional Lorentz
Space




















. The Serret-Frenet Formulas for a
Quaternionic Lorentz Curve


 were then re-derived using them. 

References

  • 1. Bharathi K. and M. Nagaraj, “Geometry of Quaternionic and Pseudo-Quaternionic Multiplications”, Ind. J. P. App. Math., 16(7): 741-756, (1985).
  • 2. Bharathi K. and Nagaraj M., “Quaternion Valued Function of a Real Variable Serret-Frenet Formulae”, Ind. J. P. App. Math., 18(6): 507-511, (1987).
  • 3. Sivridag A. I., Gunes R. and Keles S., “The Serret-Frenet Formulae for Dual Quaternion Valued Functions of a Single Real Variable”, Mechanism and Machine Theory, 29(5): 749-754, (1994).
  • 4. M. Karadag, “Helixes and Characterisations on the Quaternionic Lorentz Manifolds”, Doctoral Dissertation, University of Inonu, (1999).
There are 4 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Müge Karadağ This is me

Ali İhsan Sivridağ This is me

Publication Date December 1, 2018
Submission Date September 2, 2017
Published in Issue Year 2018

Cite

APA Karadağ, M., & Sivridağ, A. İ. (2018). On a Study of the Quaternionic Lorentzian Curve. Politeknik Dergisi, 21(4), 937-940. https://doi.org/10.2339/politeknik.389626
AMA Karadağ M, Sivridağ Aİ. On a Study of the Quaternionic Lorentzian Curve. Politeknik Dergisi. December 2018;21(4):937-940. doi:10.2339/politeknik.389626
Chicago Karadağ, Müge, and Ali İhsan Sivridağ. “On a Study of the Quaternionic Lorentzian Curve”. Politeknik Dergisi 21, no. 4 (December 2018): 937-40. https://doi.org/10.2339/politeknik.389626.
EndNote Karadağ M, Sivridağ Aİ (December 1, 2018) On a Study of the Quaternionic Lorentzian Curve. Politeknik Dergisi 21 4 937–940.
IEEE M. Karadağ and A. İ. Sivridağ, “On a Study of the Quaternionic Lorentzian Curve”, Politeknik Dergisi, vol. 21, no. 4, pp. 937–940, 2018, doi: 10.2339/politeknik.389626.
ISNAD Karadağ, Müge - Sivridağ, Ali İhsan. “On a Study of the Quaternionic Lorentzian Curve”. Politeknik Dergisi 21/4 (December 2018), 937-940. https://doi.org/10.2339/politeknik.389626.
JAMA Karadağ M, Sivridağ Aİ. On a Study of the Quaternionic Lorentzian Curve. Politeknik Dergisi. 2018;21:937–940.
MLA Karadağ, Müge and Ali İhsan Sivridağ. “On a Study of the Quaternionic Lorentzian Curve”. Politeknik Dergisi, vol. 21, no. 4, 2018, pp. 937-40, doi:10.2339/politeknik.389626.
Vancouver Karadağ M, Sivridağ Aİ. On a Study of the Quaternionic Lorentzian Curve. Politeknik Dergisi. 2018;21(4):937-40.
 
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