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

Nevin Gürbüz

doi:https://doi.org/10.14445/22315373/IJMTT-V4I9P6

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

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

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

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