Osculating Spheres of a Semi Real Quaternionic Curve in E_2^4

Authors

  • O. Bektas
  • N. Bayrak Gurses YILDIZ TECHNICAL UNIVERSITY
  • S. Yuce

Keywords:

Osculating sphere, semi real quaternionic curve, semi

Abstract

In this study, we define the osculating spheres of a semi real quaternionic curve in Semi Euclidean spaces $\mathbb{E}_{1}^{3}~$and $\mathbb{E}_{2}^{4}$. We gave the equation of the osculating
spheres with respect to Frenet frames $\left\{ \mathbf{t}_{0},\mathbf{n}%
_{1_{0}},\mathbf{n}_{2_{0}}\right\} ~$and $\left\{ \mathbf{T}_{0},\mathbf{N}%_{\mathbf{1}_{0}},\mathbf{N}_{\mathbf{2}_{0}},\mathbf{N}_{\mathbf{3}%
_{0}}\right\} $.

Author Biography

  • N. Bayrak Gurses, YILDIZ TECHNICAL UNIVERSITY

    Research Assistant

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Published

2014-01-29

Issue

Vol. 7 No. 1: (January 2014)

Section

Differential Geometry

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How to Cite

Osculating Spheres of a Semi Real Quaternionic Curve in E_2^4. (2014). European Journal of Pure and Applied Mathematics, 7(1), 86-96. https://www.ejpam.com/index.php/ejpam/article/view/1979