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This is a Quantitative Study study.

October 20, 2025Open Access

Normal Surfaces Defined by Smarandache Curves According to Frenet Frame in the Euclidean 3-space

Key Points

Normal surfaces defined by Smarandache curves can be characterized using the Frenet frame.
Theorems provide necessary and sufficient conditions for these surfaces to be developable.
The study includes illustrations demonstrating the properties of minimal normal surfaces.
Results reveal the relationship between Smarandache curves and surface characteristics in Euclidean space.

Abstract

In this paper, we introduced original definitions of special normal surfaces defined by Smarandache curves according to Frenet frame in Euclidean space. We investigate theorems that give us necessary and sufficient conditions for those normal surfaces to be developable and minimal and give examples with illustrations.

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Cite This Study

Amine Yılmaz (Sun,) studied this question.

synapsesocial.com/papers/68f5fcd68d54a28a75cf1f7a https://doi.org/https://doi.org/10.33773/jum.1591062