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

Author

Listed:
  • Safaa Mosa
  • Eman Ghareeb Rezk
  • Mervat Elzawy

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.

Suggested Citation

  • Safaa Mosa & Eman Ghareeb Rezk & Mervat Elzawy, 2026. "Exploring Minimal Surfaces in E3: A Frenet-Like Curve (Flc) Approach and Differential Characterizations," Journal of Mathematics, Hindawi, vol. 2026, pages 1-9, May.
    • Handle: RePEc:hin:jjmath:1485162
    DOI: 10.1155/jom/1485162
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