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2017 | 132 | 3 | 896-899
Article title

Null Quaternionic Cartan Helices in ℝ³_{v}

Content
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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
Publisher

Year
Volume
132
Issue
3
Pages
896-899
Physical description
Dates
published
2017-09
Contributors
author
  • Süleyman Demirel University, Department of Mathematics, Isparta, Turkey
author
  • Akdeniz University, Department of Mathematics, Antalya, Turkey
References
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  • [5] K.L. Duggal, D.H. Jin, Null curves and hypersurfaces of semi-Riemannian manifolds, World Scientific Publishing, 2007
  • [6] A. Fernandez, A. Gimenez, P. Lucas, Int. J. Mod. Phys. 16, 4845 (2001), doi: 10.1142/S0217751X01005821
  • [7] K. Honda, J. Inoguchi, Differential Geom.-Dynam. Syst. 5, 31 (2003)
  • [8] J. Inoguchi, S. Lee, Int. Electronic J. Geom. 1, 40 (2008)
  • [9] O. Keçilioğlu, K. İlarslan, Bull. Math. Anal. Applicat 5, 27 (2013)
  • [10] A. Tuna Aksoy, Ph.D Thesis, Süleyman Demirel University, 2014
  • [11] A. Tuna Aksoy, A.C. Çöken, Acta Phys. Pol. A 128, B-286 (2015), doi: 10.12693/APhysPolA.128.B-286
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-app132z3-iip026kz
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