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Chen, B. (2003) When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? The American Mathematical Monthly, 110, 147-152.
https://doi.org/10.1080/00029890.2003.11919949

has been cited by the following article:

• 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.