On Dual Timelike Mannheim Partner Curves in D3 1
Ozcan Bektas, Suleyman Senyurt
TL;DR
This paper introduces dual timelike Mannheim partner curves in Dual Lorentzian Space D3 1, explores their curvature and torsion relationships, and establishes conditions for their existence and properties.
Contribution
It defines dual timelike Mannheim partner curves in D3 1 and derives their curvature and torsion relationships along with necessary and sufficient conditions.
Findings
Derived relationships between curvatures and torsions of the curves.
Established necessary and sufficient conditions for dual timelike Mannheim partner curves.
Extended the concept of Mannheim curves to Dual Lorentzian Space D3 1.
Abstract
The first aim of this paper is to define the dual timelike Mannheim partner curves in Dual Lorentzian Space D3 1, the second aim of this paper is to obtain the relationships between the curvatures and the torsions of the dual timelike Mannheim partner curves with respect to each other and the final aim of this paper is to get the necessary and sufficient conditions for the dual timelike Mannheim partner curves in D3 1 .
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds