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

Year 2021, Volume: 50 Issue: 2, 444 - 452, 11.04.2021

Dae Won Yoon Zuhal Kucukarslan Yuzbasi

https://doi.org/10.15672/hujms.664764

Cited By: 5

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

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