Generalized relaxed elastic line on an oriented surface
We study the relaxed elastic line in a more general case on an oriented surface. In particular, we obtain a differential equation with three boundary conditions for the generalized relaxed elastic line. Then we analyze the results in a plane, on a sphere, on a cylinder, and on the geodesics of the...
Збережено в:
| Дата: | 2012 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2012
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/2645 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We study the relaxed elastic line in a more general case on an oriented surface.
In particular, we obtain a differential equation with three boundary conditions for the generalized relaxed elastic line.
Then we analyze the results in a plane, on a sphere, on a cylinder, and on the geodesics of these surfaces. |
|---|