Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3

In this paper, we define and investigate a special kind of ruled surfaces called type-2 Smarandache ruled surfaces related to the type-2 Bishop frame in E3. From this point and depending on the type-2 Bishop curvature, we provide the necessary and sufficient conditions that allow these surfaces to b...

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Main Authors: Ibrahim Al-Dayel, E. M. Solouma
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/8575443
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author Ibrahim Al-Dayel
E. M. Solouma
author_facet Ibrahim Al-Dayel
E. M. Solouma
author_sort Ibrahim Al-Dayel
collection DOAJ
description In this paper, we define and investigate a special kind of ruled surfaces called type-2 Smarandache ruled surfaces related to the type-2 Bishop frame in E3. From this point and depending on the type-2 Bishop curvature, we provide the necessary and sufficient conditions that allow these surfaces to be developable in a minimal amount of time. Furthermore, an example is given to clear the results.
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spelling doaj-art-b253a41d06e649559e4e8a0a4fa300fc2025-02-03T05:47:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/85754438575443Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3Ibrahim Al-Dayel0E. M. Solouma1Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Saudi ArabiaIn this paper, we define and investigate a special kind of ruled surfaces called type-2 Smarandache ruled surfaces related to the type-2 Bishop frame in E3. From this point and depending on the type-2 Bishop curvature, we provide the necessary and sufficient conditions that allow these surfaces to be developable in a minimal amount of time. Furthermore, an example is given to clear the results.http://dx.doi.org/10.1155/2021/8575443
spellingShingle Ibrahim Al-Dayel
E. M. Solouma
Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3
Advances in Mathematical Physics
title Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3
title_full Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3
title_fullStr Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3
title_full_unstemmed Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3
title_short Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3
title_sort characteristic properties of type 2 smarandache ruled surfaces according to the type 2 bishop frame in e3
url http://dx.doi.org/10.1155/2021/8575443
work_keys_str_mv AT ibrahimaldayel characteristicpropertiesoftype2smarandacheruledsurfacesaccordingtothetype2bishopframeine3
AT emsolouma characteristicpropertiesoftype2smarandacheruledsurfacesaccordingtothetype2bishopframeine3