Mannheim curves with modified orthogonal frame in Euclidean 3-space
Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan, Bahaddin Bukcu
TL;DR
This paper explores Mannheim and related curves using a modified orthogonal frame in Euclidean 3-space, providing new characterizations of these curves.
Contribution
It introduces new characterizations of Mannheim, Frenet-Mannheim, and Weakened Mannheim curves within the framework of a modified orthogonal frame.
Findings
Characterizations of Mannheim pairs
Characterizations of Frenet-Mannheim curves
Characterizations of Weakened Mannheim curves
Abstract
In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves and Weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space(E 3 ). We obtain some characterizations of these curves.
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