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

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  • Soukaina Ouarab

Abstract

In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in . 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.

Suggested Citation

  • Soukaina Ouarab, 2021. "Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-8, April.
    • Handle: RePEc:hin:jnlaaa:5526536
    DOI: 10.1155/2021/5526536
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