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Journals / Politeknik Dergisi / 2018 / Cilt: 21 - Sayı: 4

On a Study of the Quaternionic Lorentzian Curve

Müge KARDAĞ,Ali İhsan SİVRİDAĞ

Pages
937–940
DOI
—

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.

Özet

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