Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$
UDC 514.75 We introduce admissible Mannheim partner curves according to a modified orthogonal frame in the 3-dimensional Galilean space $G_{3}.$ Moreover, we use a modified orthogonal frame according to torsion. Further, we analyze these partner curves with respect to the modified orthogonal frame b...
Збережено в:
| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9015 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1866663700255997952 |
|---|---|
| author | Turan, Murat Bozok, Hülya Gün Turan, Murat Bozok, Hülya Gün |
| author_facet | Turan, Murat Bozok, Hülya Gün Turan, Murat Bozok, Hülya Gün |
| author_institution_txt_mv | [
{
"author": "Murat Turan",
"institution": "Department of Mathematics, Osmaniye Korkut Ata University, Osmaniye, Türkiye"
},
{
"author": "Hülya Gün Bozok",
"institution": "Department of Mathematics, Osmaniye Korkut Ata University, Osmaniye, Türkiye"
}
] |
| author_sort | Turan, Murat |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-05-30T12:44:49Z |
| description | UDC 514.75
We introduce admissible Mannheim partner curves according to a modified orthogonal frame in the 3-dimensional Galilean space $G_{3}.$ Moreover, we use a modified orthogonal frame according to torsion. Further, we analyze these partner curves with respect to the modified orthogonal frame by curvature and torsion and obtain some characterizations of these curves. These findings have led us to the discovery of some curious remarks concerning Mannheim curves. |
| doi_str_mv | 10.3842/umzh.v78i5-6.9015 |
| first_indexed | 2026-05-30T01:00:41Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9015 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-05-31T01:00:28Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-90152026-05-30T12:44:49Z Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ Turan, Murat Bozok, Hülya Gün Turan, Murat Bozok, Hülya Gün Galilean space, Mannheim partner curves, modified orthogonal frame. Differential geometry UDC 514.75 We introduce admissible Mannheim partner curves according to a modified orthogonal frame in the 3-dimensional Galilean space $G_{3}.$ Moreover, we use a modified orthogonal frame according to torsion. Further, we analyze these partner curves with respect to the modified orthogonal frame by curvature and torsion and obtain some characterizations of these curves. These findings have led us to the discovery of some curious remarks concerning Mannheim curves. УДК 514.75 Мангеймівські криві з модифікованим ортогональним репером у галілеєвому просторі $G_{3}$ Введено допустимі мангеймівські парні криві щодо модифікованого ортогонального репера у тривимірному галілеєвому просторі $G_{3}.$ Використано модифікований ортогональний репер, визначений за крученням; крім того, ці парні криві досліджено щодо такого репера за допомогою кривини та кручення і наведено їхні характеристики. Отримані результати привели до встановлення деяких нетривіальних властивостей мангеймівських кривих. Institute of Mathematics, NAS of Ukraine 2026-05-29 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9015 10.3842/umzh.v78i5-6.9015 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 5-6 (2026); 380–381 Український математичний журнал; Том 78 № 5-6 (2026); 380–381 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9015/10664 Copyright (c) 2026 Murat Turan, Hülya Gün Bozok |
| spellingShingle | Turan, Murat Bozok, Hülya Gün Turan, Murat Bozok, Hülya Gün Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title | Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title_alt | Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title_full | Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title_fullStr | Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title_full_unstemmed | Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title_short | Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$ |
| title_sort | mannheim curves with modified orthogonal frame in galilean space $g_{3}$ |
| topic_facet | Galilean space Mannheim partner curves modified orthogonal frame. Differential geometry |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9015 |
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