On a Study of the Quaternionic Lorentzian Curve
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.
On a Study of the Quaternionic Lorentzian Curve
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.
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- 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).