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
Full Text PDF
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