A Study On Quaternionic \(B_2\)-Slant Helix In Semi-Euclidean 4-Space

Authors

  • Faik Babadağ Department of Mathematics, Faculty of Science and Arts, Kırıkkale University

DOI:

https://doi.org/10.26713/jims.v8i3.390

Keywords:

\(B_2\)slant helices, Semi-Euclidean space, Helices, Semi-quaternions

Abstract

In this work, we defined a quaternionic \(B_2\)-slant helix in semi-Euclidean space \(\mathbb{E}_2^4\). Then we gave Frenet formulae for the quaternionic curve in semi-Euclidean space \(\mathbb{E}_2^4\). Also, we investigated some necessary and sufficient conditions for a space curve to be a quaternionic \(B_2\)-slant helix according to quaternionic curves in semi-Euclidean space \(\mathbb{E}_2^4\).

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References

A.C. í‡öken and A. Tuna, On the quaternionic inclined curves in the semi-Euclidean space (E^4_2), Applied Mathematics and Computation 155 (2004), 373–389.

K. Bharathi and M. Nagaraj, Quaternion valued function of a real variable Serret-Frenet formulae, Indian J. Pure Appl. Math. 18 (6) (1987), 507–511.

B. Rosenfeld, Geometry of Lie Groups, Kluwer Academic Publishers, Netherlands (1997).

M. í–zdemir and A.A. Ergin, Rotation with unit timelike quaternions in Minkowski 3-space, Journal of Geometry and Physics 56 (2006), 322–336.

S. Izumiya and N. Takeuchi, New special curves and developable surfaces, Turk J. Math. 28 (2004),

–163.

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Published

2016-11-08
CITATION

How to Cite

Babadağ, F. (2016). A Study On Quaternionic \(B_2\)-Slant Helix In Semi-Euclidean 4-Space. Journal of Informatics and Mathematical Sciences, 8(3), 151–157. https://doi.org/10.26713/jims.v8i3.390

Issue

Vol. 8 No. 3 (2016)

Section

Research Articles

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