NC -Smarandache Ruled Surface and NW -Smarandache Ruled Surface according to Alternative Moving Frame in E 3-Reference-Cited by-同舟云学术

NC -Smarandache Ruled Surface and NW -Smarandache Ruled Surface according to Alternative Moving Frame in E 3

Published:2021-06-29 Issue: Volume:2021 Page:1-6
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Ouarab Soukaina¹^ORCID

Affiliation:

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

Abstract

In this study, original definitions of

NC -

Smarandache ruled surface and

NW -

Smarandache ruled surface according to the alternative moving frame are introduced in

E^{3}

. The main results of the study are presented in theorems that give necessary and sufficient conditions for those special surfaces to be developable and minimal. Finally, an example with illustrations is presented.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/9951434.pdf

Reference17 articles.

1. Construction of developable surfaces using generalized C-Bézier bases with shape parameters

2. Developable mechanisms on developable surfaces

3. Some special types of developable ruled surface;P. Alegre;Hacettepe Journal of Mathematics and Statistics,2010

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1. Alternative View of Inextensible Flows of Curves and Ruled Surfaces via Alternative Frame;Mathematics;2024-06-28

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