TITLE:
On Some Properties of Mannheim Curves in a Strict Walker 3-Manifolds
AUTHORS:
Rénovat Nkunzimana, Christophe Mbabare Ngirente
KEYWORDS:
Mannheim Curve, Curvature, Torsion, Mannheim Partner, Walker Manifolds
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.4,
April
29,
2026
ABSTRACT: In this paper we study the geometry of Mannheim curves in a strict Walker 3-manifold and we obtain explicit parametric equations for Mannheim curves and timelike Mannheim curves, respectively. We determine the distance between two corresponding points of the Mannheim pair of curves and show that the distance depends on the curvature. We discuss the relationship between the curvature and torsion of a pair of Mannheim curves in a strict Walker Manifold. We finish with an example of Mannheim pair curves to illustrate the result.