A Note an Admissible Mannheim Curves in Galilean Space
S. Ersoy, M. Aky\.i\u{g}\.it, M. Tosun
TL;DR
This paper investigates Mannheim partner curves within three-dimensional Galilean space, deriving key theorems to deepen understanding of their geometric properties in this non-Euclidean setting.
Contribution
It introduces new theorems characterizing Mannheim curves specifically in Galilean space, expanding the geometric theory beyond classical Euclidean contexts.
Findings
Derived fundamental properties of Mannheim curves in Galilean space
Established conditions for Mannheim partner curves in this setting
Extended classical theorems to non-Euclidean geometry
Abstract
The aim of this paper is to study the Mannheim partner curves in three dimensional Galilean space . Some well known theorems are obtained related to Mannheim curves.
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Taxonomy
TopicsMathematics and Applications