Author: Orbay, Keziban
Annotation: This paper investigates the relationships between two curves rolling over each other without slipping on the unit sphere in three-dimensional Euclidean space, together with their Mannheim partner curves, from the viewpoint of geodesic curvature. The corresponding relations between their geodesic Frenet frames are first derived, followed by an analysis of the relations between their geodesic curvatures.
Keywords: Geodesic curvature, Mannheim partner curves, Rolling without slipping.
Pages in journal: 70 - 80
