On a Study of the Quaternionic Lorentzian Curve

Year 2018, Volume: 21 Issue: 4, 937 - 940, 01.12.2018

Müge Karadağ Ali İhsan Sivridağ

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

Cited By: 1

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. 

Keywords

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

References

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