Null Quaternionic Cartan Helices in ℝ³_{v}

• Authors: A. Tuna Aksoy , A. Çöken
• Languages of publication: EN

Abstracts

EN

In this study, we define null quaternionic Bertrand curves in ℝ³_{v} 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 ℝ³_{v} is a null quaternionic Bertrand curve, then it is a null quaternionic helix.

Keywords

EN

02.40.k; 02.40.Hw

Discipline

• 02.40.Hw: Classical differential geometry

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 3
• Pages: 896-899

Dates

published

2017-09

Contributors

author

A. Tuna Aksoy

• Süleyman Demirel University, Department of Mathematics, Isparta, Turkey

author

A. Çöken

• Akdeniz University, Department of Mathematics, Antalya, Turkey

References

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• [11] A. Tuna Aksoy, A.C. Çöken, Acta Phys. Pol. A 128, B-286 (2015), doi: 10.12693/APhysPolA.128.B-286

Identifiers

DOI

10.12693/APhysPolA.132.896