The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
| dc.creator | Colding, Tobias H. | |
| dc.creator | Minicozzi II, William P. | |
| dc.date | 2002-10-09 | |
| dc.date.accessioned | 2026-07-07T04:51:47Z | |
| dc.date.available | 2026-07-07T04:51:47Z | |
| dc.description | This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]-[CM5] we describe the case where the surfaces are topologically disks on any fixed small scale. To describe general planar domains (in [CM6]) we need in addition to the results of [CM3]-[CM5] a key estimate for embedded stable annuli which is the main result of this paper. This estimate asserts that such an annulus is a graph away from its boundary if it has only one interior boundary component and if this component lies in a small (extrinsic) ball. | |
| dc.description | Figures added to existing preprint | |
| dc.identifier | https://arxiv.org/abs/math/0210141 | |
| dc.identifier | http://arxiv.org/abs/math/0210141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65233 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.title | The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains | |
| dc.type | text |