Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3
In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3. It concerns Tg Partner ruled surfaces, Tn Partner ruled surfaces, and gn Partner ruled surfaces. We aim to study the simultaneous developa...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/3151501 |
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| _version_ | 1849410126090338304 |
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| author | Soukaina Ouarab |
| author_facet | Soukaina Ouarab |
| author_sort | Soukaina Ouarab |
| collection | DOAJ |
| description | In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3. It concerns Tg Partner ruled surfaces, Tn Partner ruled surfaces, and gn Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study. |
| format | Article |
| id | doaj-art-76a34e6ad7364666bfe2f1cf658881d5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-76a34e6ad7364666bfe2f1cf658881d52025-08-20T03:35:15ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/31515013151501Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3Soukaina Ouarab0Hassan II University of Casablanca, Ben M’sik Faculty of Sciences, Department of Mathematics and Computer Sciences, MoroccoIn this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3. It concerns Tg Partner ruled surfaces, Tn Partner ruled surfaces, and gn Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study.http://dx.doi.org/10.1155/2021/3151501 |
| spellingShingle | Soukaina Ouarab Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3 Abstract and Applied Analysis |
| title | Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3 |
| title_full | Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3 |
| title_fullStr | Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3 |
| title_full_unstemmed | Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3 |
| title_short | Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3 |
| title_sort | simultaneous developability of partner ruled surfaces according to darboux frame in e3 |
| url | http://dx.doi.org/10.1155/2021/3151501 |
| work_keys_str_mv | AT soukainaouarab simultaneousdevelopabilityofpartnerruledsurfacesaccordingtodarbouxframeine3 |