The Bernstein Problem in the Heisenberg Group
| dc.creator | Garofalo, Nicola | |
| dc.creator | Pauls, Scott D. | |
| dc.date | 2002-09-06 | |
| dc.date | 2005-05-13 | |
| dc.date.accessioned | 2026-07-07T04:50:39Z | |
| dc.date.available | 2026-07-07T04:50:39Z | |
| dc.description | We establish the following theorem of Bernstein type for the first Heisenberg group: Let S be a C^2 connected H-minimal surface which is a graph over some plane P, then S is either a non-characteristic vertical plane, or its generalized seed curve satisfies a type of constant curvature condition. | |
| dc.description | 62 pages, 9 figures. The first version of this paper contained a serious error. The current version is a complete reworking of the techniques and results | |
| dc.identifier | https://arxiv.org/abs/math/0209065 | |
| dc.identifier | http://arxiv.org/abs/math/0209065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64869 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C17, 53A10, 49Q20, 35J70 | |
| dc.title | The Bernstein Problem in the Heisenberg Group | |
| dc.type | text |