Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space

In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame (B-Darboux frame) in Euclidean 3-space E3 to study and explain the...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	E. M. Solouma, Ibrahim AL-Dayel
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/e3f03c9a5ec74cf589ee8c926494780c
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:e3f03c9a5ec74cf589ee8c926494780c
record_format	dspace
spelling	oai:doaj.org-article:e3f03c9a5ec74cf589ee8c926494780c2021-11-29T00:55:33ZHarmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space1687-913910.1155/2021/5269655https://doaj.org/article/e3f03c9a5ec74cf589ee8c926494780c2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5269655https://doaj.org/toc/1687-9139In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame (B-Darboux frame) in Euclidean 3-space E3 to study and explain the geometric characteristics of the harmonic evolute surfaces of tubular surfaces. The characterizations of the harmonic evolute surface’s ϱ and ς parameter curves are evaluated, and then, they are compared. Finally, an example of a tubular surface’s harmonic evolute surface is presented, along with visuals of these surfaces.E. M. SoloumaIbrahim AL-DayelHindawi LimitedarticlePhysicsQC1-999ENAdvances in Mathematical Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 E. M. Solouma Ibrahim AL-Dayel Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
description	In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame (B-Darboux frame) in Euclidean 3-space E3 to study and explain the geometric characteristics of the harmonic evolute surfaces of tubular surfaces. The characterizations of the harmonic evolute surface’s ϱ and ς parameter curves are evaluated, and then, they are compared. Finally, an example of a tubular surface’s harmonic evolute surface is presented, along with visuals of these surfaces.
format	article
author	E. M. Solouma Ibrahim AL-Dayel
author_facet	E. M. Solouma Ibrahim AL-Dayel
author_sort	E. M. Solouma
title	Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
title_short	Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
title_full	Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
title_fullStr	Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
title_full_unstemmed	Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
title_sort	harmonic evolute surface of tubular surfaces via b-darboux frame in euclidean 3-space
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/e3f03c9a5ec74cf589ee8c926494780c
work_keys_str_mv	AT emsolouma harmonicevolutesurfaceoftubularsurfacesviabdarbouxframeineuclidean3space AT ibrahimaldayel harmonicevolutesurfaceoftubularsurfacesviabdarbouxframeineuclidean3space
_version_	1718407805073883136

Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space

Ejemplares similares