Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3-Reference-Cited by-同舟云学术

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E 3

Published:2021-03-31 Issue: Volume:2021 Page:1-8
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ouarab Soukaina¹^ORCID

Affiliation:

1. Department of Mathematics and Computer Science, Hassan II University of Casablanca, Ben M’sik Faculty of Sciences, Morocco

Abstract

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

E^{3}

. 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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2021/5526536.pdf

Reference19 articles.

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1. The geometrical properties of the Smarandache curves on 3-dimension pseudo-spheres generated by null curves;AIMS Mathematics;2024

2. Another application of Smarandache based ruled surfaces with the Darboux vector according to Frenet frame in $E^{3}$;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-07-08

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4. Corrigendum to “Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in $E^{3}$ ”;Abstract and Applied Analysis;2022-07-11

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