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

Yıl 2025, Cilt: 8 Sayı: 2, 104 - 119, 19.10.2025

Amine Yılmaz

https://doi.org/10.33773/jum.1591062

Öz

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.

Anahtar Kelimeler

Smarandache curves , Mean curvature , Gaussian curvature , Normal surfaces

Öklid Uzayında Frenet Çatısına göre Smarandache Eğrileri ile Tanımlanan Normal Yüzeyler

Öz

Bu makalede, Öklid uzayında Frenet çatısına göre Smarandache eğrileri tarafından tanımlanan özel normal yüzeylerin orijinal tanımlarını tanıttık. Bu normal yüzeylerin açılabilir ve minimal olması için gerekli ve yeterli koşulları veren teoremleri araştırıyoruz ve örnekler veriyoruz.

Anahtar Kelimeler

Normal yüzeyler , Smarandache eğrileri , Gauss eğriliği , Ortalama eğrilik

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