Null Quaternionic Cartan Helices in ℝv3 |
A. Tuna Aksoya and A.C. Çökenb
aSüleyman Demirel University, Department of Mathematics, Isparta, Turkey bAkdeniz University, Department of Mathematics, Antalya, Turkey |
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In this study, we define null quaternionic Bertrand curves in ℝv3 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 ℝv3 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 |