Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan, Bahaddin Bükcü
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 derive some characterization results of these curves.
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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 derive some characterization results of these curves.
Key concepts: Frenet–Serret formulas, Euclidean geometry, Space (punctuation), Frame (networking), Euclidean space, Mathematics, Mathematical analysis, Pure mathematics