On a Family of Surfaces with Common Asymptotic Curve in the Galilean space \(G_3\)

Volume 9, Issue 2, pp 518--523 http://dx.doi.org/10.22436/jnsa.009.02.17

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Authors

Zühal Küçükarslan Yüzbaşı - Faculty of Science, Department of Mathematics, Firat University, 23119, Elazig, Turkey.

Abstract

In this paper, we obtain the parametric representation for a family of surfaces through a given asymptotic curve by using the Frenet frame in the Galilean space \(G_3\). Necessary and sufficient conditions are given for that curve to be an isoasymptotic curve on the parametric surfaces. We also provide an example in support of our results.

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Keywords

• Asymptotic curve
• parametric surface
• Galilean space.

MSC

•  53A35

References

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