Exploring Minimal Surfaces in E3: A Frenet-Like Curve (Flc) Approach and Differential Characterizations

Safaa Mosa, Eman Ghareeb Rezk and Mervat Elzawy

Journal of Mathematics, 2026, vol. 2026, 1-9

Abstract: This research article presents minimal surfaces in the Euclidean 3−space according to the Frenet-like curve frame (Flc-frame). The proposed methodology involves studying the necessary and sufficient conditions for a surface Ms,t to be a minimal surface according to the Flc-frame. Using this approach, the authors derive various characterizations of these surfaces and introduce special cases of such surfaces by solving a system of differential equations.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1485162

DOI: 10.1155/jom/1485162

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