Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve. We also derive the relation about developability along the common geodesic of a ruled surface as a member of the surface family. Finally, we will give some examples to show some applications of the method.
|Yayımlanma Tarihi||30 Mart 2022|
|Başvuru Tarihi||28 Temmuz 2021|
|Kabul Tarihi||15 Aralık 2021|
|Yayınlandığı Sayı||Yıl 2022, Cilt 43, Sayı 1|