The classification of doubly periodic minimal tori with parallel ends
| dc.creator | Perez, Joaquin | |
| dc.creator | Rodriguez, M. Magdalena | |
| dc.creator | Traizet, Martin | |
| dc.date | 2005-01-28 | |
| dc.date.accessioned | 2026-07-07T05:16:28Z | |
| dc.date.available | 2026-07-07T05:16:28Z | |
| dc.description | Let $\mathcal{K}$ be the space of properly embedded minimal tori in quotients of $\R^3$ by two independent translations, with any fixed (even) number of parallel ends. After an appropriate normalization, we prove that $\mathcal{K}$ is a 3-dimensional real analytic manifold that reduces to the finite coverings of the examples defined by Karcher, Meeks and Rosenberg in \cite{ka4,ka6,mr3}. The degenerate limits of surfaces in $\mathcal{K}$ are the catenoid, the helicoid and three 1-parameter families of surfaces: the simply and doubly periodic Scherk minimal surfaces and the Riemann minimal examples. | |
| dc.description | 55 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0501507 | |
| dc.identifier | http://arxiv.org/abs/math/0501507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74003 | |
| dc.subject | Differential Geometry | |
| dc.subject | 49Q05; 53A10 | |
| dc.title | The classification of doubly periodic minimal tori with parallel ends | |
| dc.type | text |