On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13
The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is usin...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/9121239 |
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| author | Nadia Alluhaibi Rashad A. Abdel-Baky Monia Naghi |
| author_facet | Nadia Alluhaibi Rashad A. Abdel-Baky Monia Naghi |
| author_sort | Nadia Alluhaibi |
| collection | DOAJ |
| description | The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is using the RMF for classification of singularity type of timelike sweeping surface and Bishop spherical Darboux image which is mightily concerning a unit speed spacelike curve with timelike binormal vector in E13. |
| format | Article |
| id | doaj-art-cbd0fdf226194f468fe35aaefeec4960 |
| institution | OA Journals |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cbd0fdf226194f468fe35aaefeec49602025-08-20T02:19:58ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/9121239On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13Nadia Alluhaibi0Rashad A. Abdel-Baky1Monia Naghi2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThe Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is using the RMF for classification of singularity type of timelike sweeping surface and Bishop spherical Darboux image which is mightily concerning a unit speed spacelike curve with timelike binormal vector in E13.http://dx.doi.org/10.1155/2022/9121239 |
| spellingShingle | Nadia Alluhaibi Rashad A. Abdel-Baky Monia Naghi On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13 Abstract and Applied Analysis |
| title | On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13 |
| title_full | On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13 |
| title_fullStr | On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13 |
| title_full_unstemmed | On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13 |
| title_short | On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13 |
| title_sort | on the timelike sweeping surfaces and singularities in minkowski 3 space e13 |
| url | http://dx.doi.org/10.1155/2022/9121239 |
| work_keys_str_mv | AT nadiaalluhaibi onthetimelikesweepingsurfacesandsingularitiesinminkowski3spacee13 AT rashadaabdelbaky onthetimelikesweepingsurfacesandsingularitiesinminkowski3spacee13 AT monianaghi onthetimelikesweepingsurfacesandsingularitiesinminkowski3spacee13 |