Binormal motions of inextensible curves in de-sitter space S2,1
In the present work, we continue our study of motions of inextensible curves in de-sitter space S2,1, that we started in [1]. The binormal motions of timelike curves and spacelike curves with a timelike normal vector in S2,1 are described and studied. By the motions of these types of curves, new sur...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X17300330 |
| _version_ | 1818985835218862080 |
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| author | Samah Gaber Mohamed |
| author_facet | Samah Gaber Mohamed |
| author_sort | Samah Gaber Mohamed |
| collection | DOAJ |
| description | In the present work, we continue our study of motions of inextensible curves in de-sitter space S2,1, that we started in [1]. The binormal motions of timelike curves and spacelike curves with a timelike normal vector in S2,1 are described and studied. By the motions of these types of curves, new surfaces (we will call them Hasimoto surfaces) are constructed and plotted by using the hollow ball model by Mathematica 7. |
| first_indexed | 2024-12-20T18:41:12Z |
| format | Article |
| id | doaj.art-ebc39222aa3c4c98a022491520ef1727 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-20T18:41:12Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-ebc39222aa3c4c98a022491520ef17272022-12-21T19:29:47ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2017-07-0125331331810.1016/j.joems.2017.04.002Binormal motions of inextensible curves in de-sitter space S2,1Samah Gaber MohamedIn the present work, we continue our study of motions of inextensible curves in de-sitter space S2,1, that we started in [1]. The binormal motions of timelike curves and spacelike curves with a timelike normal vector in S2,1 are described and studied. By the motions of these types of curves, new surfaces (we will call them Hasimoto surfaces) are constructed and plotted by using the hollow ball model by Mathematica 7.http://www.sciencedirect.com/science/article/pii/S1110256X17300330Motions of timelike curvesMotions of spacelike curvesBinormal motionsInextensible curve flowsCurves in de-sitter spaceHasimoto surfaces |
| spellingShingle | Samah Gaber Mohamed Binormal motions of inextensible curves in de-sitter space S2,1 Journal of the Egyptian Mathematical Society Motions of timelike curves Motions of spacelike curves Binormal motions Inextensible curve flows Curves in de-sitter space Hasimoto surfaces |
| title | Binormal motions of inextensible curves in de-sitter space S2,1 |
| title_full | Binormal motions of inextensible curves in de-sitter space S2,1 |
| title_fullStr | Binormal motions of inextensible curves in de-sitter space S2,1 |
| title_full_unstemmed | Binormal motions of inextensible curves in de-sitter space S2,1 |
| title_short | Binormal motions of inextensible curves in de-sitter space S2,1 |
| title_sort | binormal motions of inextensible curves in de sitter space s2 1 |
| topic | Motions of timelike curves Motions of spacelike curves Binormal motions Inextensible curve flows Curves in de-sitter space Hasimoto surfaces |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X17300330 |
| work_keys_str_mv | AT samahgabermohamed binormalmotionsofinextensiblecurvesindesitterspaces21 |