A generalization for surfaces using a line of curvature in Lie group

Authors : Dae Won YOON, Zuhal KUCUKARSLAN YUZBASİ

Pages : 444-452

Doi:10.15672/hujms.664764

View : 12 | Download : 4

Publication Date : 2021-04-11

Article Type : Research Paper

Abstract :In this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group. Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions. After then, we provide some crucial examples of how efficient our method is on these surfaces.
Keywords : Surface family, Lie Group, Line of curvature