A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space G3

Autor:	Abdel-Baky, Awatif Al-Jedani, Rashad A.
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	isotropic normal geodesic curve ruled and developable surfaces Serret–Frenet formulae marching-scale functions
Zdroj:	Mathematics; Volume 11; Issue 13; Pages: 2971
ISSN:	2227-7390
DOI:	10.3390/math11132971
Popis:	This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G3. Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it. Furthermore, we resolve the conditions when the surface is a ruled surface. Consequently, its ability to develop with the mutual geodesic of the elements of the surface family is researched. Meanwhile, we explain this approach by submitting considerable examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=multidiscipl::935fbc36672f501885e413f5cb3e5221 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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