Smarandache Ruled Surfaces according to Frenet‐Serret Frame of a Regular Curve in E3

Soukaina Ouarab

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

Abstract: In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet‐Serret frame of a curve in E3. It concerns TN‐Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations.

Date: 2021
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https://doi.org/10.1155/2021/5526536

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:5526536

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