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.
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).
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.
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).
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. Aralık 2018;21(4):937-940. doi:10.2339/politeknik.389626
Chicago
Karadağ, Müge, ve Ali İhsan Sivridağ. “On a Study of the Quaternionic Lorentzian Curve”. Politeknik Dergisi 21, sy. 4 (Aralık 2018): 937-40. https://doi.org/10.2339/politeknik.389626.
EndNote
Karadağ M, Sivridağ Aİ (01 Aralık 2018) On a Study of the Quaternionic Lorentzian Curve. Politeknik Dergisi 21 4 937–940.
IEEE
M. Karadağ ve A. İ. Sivridağ, “On a Study of the Quaternionic Lorentzian Curve”, Politeknik Dergisi, c. 21, sy. 4, ss. 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 (Aralık 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 ve Ali İhsan Sivridağ. “On a Study of the Quaternionic Lorentzian Curve”. Politeknik Dergisi, c. 21, sy. 4, 2018, ss. 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.