| Автор | Callahan, Michael |
| Автор | Hoffman, David |
| Автор | Karcher, Hermann |
| Дата выпуска | 1993 |
| dc.description | We construct explicitly, using the generalized Weierstrass representation, a complete embedded minimal surface M <sub> k </sub>,θ invariant under a rotation of order k + 1 and a screw motion of angle 2θ about the same axis, where k > 0 is any integer and ois any angle with |θ| < π/(k + 1). The existence of such surfaceswas proved in [Callahan et al. 1990), but no practical procedure for constructing them was given there.We also show that the sameproblem for θ = ±π/(k+1) does not have a solution enjoying reflective symmetry; the question of the existence of a solution without such symmetry is left open. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | A Family of Singly Periodic Minimal Surfaces Invariant under a Screw Motion |
| Тип | research-article |
| DOI | 10.1080/10586458.1993.10504276 |
| Electronic ISSN | 1944-950X |
| Print ISSN | 1058-6458 |
| Журнал | Experimental Mathematics |
| Том | 2 |
| Первая страница | 157 |
| Последняя страница | 182 |
| Аффилиация | Callahan, Michael; Mathematical Institute, Oxford University |
| Аффилиация | Hoffman, David; Department of Mathematics, University of Massachusetts |
| Аффилиация | Karcher, Hermann; Mathematisches Institut, Universitiit Bonn |
| Выпуск | 3 |
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