Publications
Sort:
Open Access Research Article Issue
Geometry of tubular surfaces and their focal surfaces in Euclidean 3-space
AIMS Mathematics 2024, 9(5): 12479-12493
Published: 15 May 2024
Abstract PDF (355.2 KB) Collect
Downloads:0

In this study, we examined the focal surfaces of tubular surfaces in Euclidean 3-space E 3 . We achieved some significant results for these surfaces in accordance with the modified orthogonal frame. Additionally, we proposed a few geometric invariants that illustrated the geometric characteristics of these surfaces, such as flat, minimal, Weingarten, and linear-Weingarten surfaces, using the traditional methods of differential geometry. Additionally, the asymptotic and geodesic curves of these surfaces have been researched. At last, we presented an example as an instance of use to validate our theoretical findings.

Total 1