On a Family of Surfaces with Common Asymptotic Curve in the Galilean space
Zühal Küçükarslan Yüzbaşı · The Journal of Nonlinear Sciences and Applications · 2016
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.