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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 9 | Year 2013 | Article Id. IJMTT-V4I9P6 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I9P6

Inextensible flows of curves in the equiform geometry of the simple isotropic space


Nevin Gürbüz
Abstract

In this paper, evolution equations for inextensible flows of curves in the simple isotropic space are investigated and necessary and sufficient conditions for simple isotropic inextensible curve flow are expressed as a partial differential equation involving the equiform curvature and equiform torsion in the equiform geometry of the simple isotropic space.

Keywords
Inextensible flow, simple isotropic space
References

[1] D.Y. Kwon and F.C Park. “Inextensible flows of curves and developable surfaces”Applied Mathematics Letters, Vol 18, (2005) p.1156.
[2] Gürbüz N . “Inextensible Flows of Spacelike Timelike and Null Curves” Int. J. Contemp. Math. Sciences, Vol 4, (2009). p.1599.
[3] Pavkovic B J, Kamenarovic I . The general soulution of the Frenet's System in the double isotropic space (2) 3 I , Rad JAZU Vol.428,(1987), p.17.
[4] Erjavec Z, Dvjak B, Horvat D. “ The general solutions of Frenet's System in the equiform geometry of the Galilean , Pseudo-Galilean, simple isotropic and double isotropic space, International Mathematical Forum, Vol 6,(2011), p.837.

Citation :

Nevin Gürbüz, "Inextensible flows of curves in the equiform geometry of the simple isotropic space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 9, pp. 189-195, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I9P6

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