Full Length Research Paper
Abstract
In the discussion of Bertrand and Mannheim curves, it is always assumed (explicitly or implicitly) that the curvature is nowhere zero. In this paper, we adapt this requirement on the Mannheim curves and investigate into the properties of two types of similar curves (the Frenet-Mannheim curves and the weakened Mannheim curves) under weakened conditions.
Key words: Mannheim curves, Frenet-Mannheim curves, weakened-Mannheim curves.
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