Sweeping Surfaces in theThree-Dimensional Lie Group

Sweeping Surfaces in theThree-Dimensional Lie Group

This paper investigated the rotation minimizing frames that are related to the space curves and the sweeping surfaces that are traced by these frames in the three-dimensional Lie group. Then, the sufficient and necessary conditions for the sweeping surface to be a developable ruled surface were obta...

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Bibliographic Details
Main Authors: Sahar H. Nazra, Rashad A. Abdel-Baky
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Symmetry
Subjects:
Lie groups
sweeping surface
local singularities
Online Access:https://www.mdpi.com/2073-8994/14/4/698

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