Mannheim curves with modified orthogonal frame in Euclidean 3-space

Mannheim curves with modified orthogonal frame in Euclidean 3-space

In this paper, we investigate Mannheim pairs, Frenet–Mannheim curves, and weakened Mannheim curveswith respect to the modified orthogonal frame in Euclidean 3-space $left(E^3right)$ . We derive some characterization results ofthese curves.

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