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Smarandache TN Curves Of General Helices In The Sol³ Space

Talat Körpinar*, Essin TURHAN**

*-** Firat University, Department of Mathematics, Elazig, Turkey.

Periodicity:July - September'2012
DOI : https://doi.org/10.26634/jmat.1.3.1938

Abstract

In this paper, the authors study Smarandache TN curves of general helices in the Sol³. Moreover, they characterize Smarandache TN curves of general helices in terms of their curvature and torsion. Finally, they found that the explicit parametric equations.

Keywords

General helix, Sol Space, Curvature, Torsion.

How to Cite this Article?

Körpinar, T., and Turhan, E. (2012). Introducing: Trichotomy–Squared – Smarandache TN Curves of General Helices in the Sol Space Sol3. i-manager’s Journal on Mathematics, 1(3), 1-5. https://doi.org/10.26634/jmat.1.3.1938

References

[1]. J. Eells and L. Lemaire: A report on harmonic maps, Bull. London Math. Soc. 10 (1978), 1-68.

[2]. E. Turhan and T. Körpinar: Parametric equations of general helices in the sol space Sol3, Bol. Soc. Paran. Mat. 31 (1) (2013), 99-104.

[3]. M. Turgut, and S. Yilmaz: Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics 3 (2008), 51-55.

[4]. Y. Ou and Z. Wang (2008). Linear Biharmonic Maps into Sol, Nil and Heisenberg Spaces, Mediterr, J. Math., 5, 379-394.

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Smarandache TN Curves Of General Helices In The Sol3 Space