Null Quaternionic Cartan Helices in ℝ_{v}^{3} |

A. Tuna Aksoy
^{a} and A.C. Çöken^{b}^{a}Süleyman Demirel University, Department of Mathematics, Isparta, Turkey
^{b}Akdeniz University, Department of Mathematics, Antalya, Turkey |

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In this study, we define null quaternionic Bertrand curves in ℝ_{v}^{3} for a null quaternionic curve, which has a single non-zero, constant Cartan curvature τ. We also prove that if a null quaternionic curve with non-zero curvatures in ℝ_{v}^{3} is a null quaternionic Bertrand curve, then it is a null quaternionic helix. |

DOI: 10.12693/APhysPolA.132.896 PACS numbers: 02.40.k, 02.40.Hw |