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

Yıl 2021, Cilt: 50 Sayı: 2, 444 - 452, 11.04.2021

Dae Won Yoon , Zuhal Kucukarslan Yuzbasi

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

Cited By: 5

Öz

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.

Anahtar Kelimeler

Surface family, Lie Group, Line of curvature

Kaynakça

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