Investigate and Designing Translation surface with a 2-Bishop frame in the Galilean space.
(2023). Investigate and Designing Translation surface with a 2-Bishop frame in the Galilean space.. EKB Journal Management System, 1(1), 17-27. doi: 10.21608/astb.2023.358640
. "Investigate and Designing Translation surface with a 2-Bishop frame in the Galilean space.". EKB Journal Management System, 1, 1, 2023, 17-27. doi: 10.21608/astb.2023.358640
(2023). 'Investigate and Designing Translation surface with a 2-Bishop frame in the Galilean space.', EKB Journal Management System, 1(1), pp. 17-27. doi: 10.21608/astb.2023.358640
Investigate and Designing Translation surface with a 2-Bishop frame in the Galilean space.. EKB Journal Management System, 2023; 1(1): 17-27. doi: 10.21608/astb.2023.358640

Investigate and Designing Translation surface with a 2-Bishop frame in the Galilean space.

Aswan Science and Technology Bulletin
Volume 1, Issue 1, December 2023, Pages 17-27    PDF (423.66 K)
Document Type: Original Article
DOI: 10.21608/astb.2023.358640
Abstract
In this study, we will study the translation surface in Galilean space with a 2-Bishop frame. For this surface, we have determined the first and second fundamental forms. we concentrated on the distinctive characteristics of the translational surface (Gaussian curvatures and mean curvatures ). The Weingarten property requirement for the Gaussian and second Gaussian curvatures was then satisfied (-Weingarten translation surface and -Weingarten translation surface). We will study some properties of this surface as minimal Translation surface and developable Translation surface.
Keywords
Translation surface; 2-Bishop frame; Galilean space
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