Position Vectors of Developable Surfaces According to the Bishop Frame in E3
Journal for geometry and graphics, Tome 28 (2024) no. 2, pp. 187-194
We prove that ruled surfaces generated by the Bishop frame are naturally developable in Euclidean 3-space. Moreover, the position vectors of such surface are investigated for the first time.
Classification :
53M04, 53A05
Mots-clés : Ruled surface, developable surface, position vector, Bishop frame, Euclidean 3-space
Mots-clés : Ruled surface, developable surface, position vector, Bishop frame, Euclidean 3-space
@article{JGG_2024_28_2_JGG_2024_28_2_a4,
author = {S. Ouarab},
title = {Position {Vectors} of {Developable} {Surfaces} {According} to the {Bishop} {Frame} in {E\protect\textsuperscript{3}}},
journal = {Journal for geometry and graphics},
pages = {187--194},
year = {2024},
volume = {28},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2024_28_2_JGG_2024_28_2_a4/}
}
S. Ouarab. Position Vectors of Developable Surfaces According to the Bishop Frame in E3. Journal for geometry and graphics, Tome 28 (2024) no. 2, pp. 187-194. http://geodesic.mathdoc.fr/item/JGG_2024_28_2_JGG_2024_28_2_a4/