Serret-Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space ℝ⁴₁

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

Abstracts

EN

In this study, we construct the Cartan frame of a null quaternionic curves in semi Euclidean spaces R⁴₁ for an arbitrary parameter.

Keywords

EN

02.40.-k; 02.40.Hw

Discipline

• 02.40.Hw: Classical differential geometry
• 02.40.-k: Geometry, differential geometry, and topology(see also section 04 Relativity and gravitation)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 2B
• Pages: B-293-B-296

Dates

published

2015-8

Contributors

author

A. Tuna Aksoy

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

author

A. Çöken

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

References

• [1] K. Bharathi, M. Nagaraj, Indian J. Pure Ap. Mat. 18, 507 (1987)
• [2] A.C. Çöken, A. Tuna, Appl. Math. Comput. 155, 373 (2004), doi: 10.1016/S0096-3003(03)00783-5
• [3] A. Tuna, M.Sc. Thesis, Süleyman Demirel University, Graduate School of Natural and Applied Science, Isparta, Turkey 2002
• [4] L.K. Duggal, A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Kluwer Academics Publishers, Dordrecht 1996, p. 300
• [5] A. Tuna Aksoy, Ph.D. Thesis, Süleyman Demirel University Graduate School of Natural and Applied Science, Isparta, Turkey 2014

Identifiers

DOI

10.12693/APhysPolA.128.B-293