On a Study of the Quaternionic Lorentzian Curve

Yıl 2018, Cilt: 21 Sayı: 4, 937 - 940, 01.12.2018

Müge Karadağ Ali İhsan Sivridağ

https://doi.org/10.2339/politeknik.389626

Cited By: 1

Öz

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. 

Anahtar Kelimeler

Ruled surfaces, lightlike curves, lightlike surfaces, Minkowski space, distribution parameter, Laplacian and D’Alembertian operator

Kaynakça

• 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).