Journal Article

·2024 OPEN ACCESS

ON THE GEODESIC CURVES OF CONSTANT BREADTH ACCORDING TO THE EXTENDED DARBOUX FRAME

Bahar Uyar Düldül YTU

Journal of Science and Arts

Abstract

In this study, we investigate the geodesic curves of constant breadth on an oriented hypersurface in Euclidean 4-space according to the extended Darboux frame and give the general differential equation characterizing these curves.

Keywords

Hypersurface Constant (computer programming) Geodesic Differential geometry Mathematics Frame (networking) Mathematical analysis Euclidean geometry Euclidean space Moving frame Pure mathematics Geometry Computer science

Subject Areas

Advanced Differential Equations and Dynamical Systems ·Geometry and Topology ·Physical Sciences
Differential Equations and Boundary Problems ·Applied Mathematics ·Physical Sciences
advanced mathematical theories ·Mathematical Physics ·Physical Sciences