A generalization of Reifenberg's theorem in $R^3$
| dc.creator | David, G. | |
| dc.creator | DePauw, T. | |
| dc.creator | Toro, T. | |
| dc.date | 2006-07-18 | |
| dc.date.accessioned | 2026-07-07T07:20:40Z | |
| dc.date.available | 2026-07-07T07:20:40Z | |
| dc.description | In 1960 Reifenberg proved the topological disc property. He showed that a subset of $R^n$ which is well approximated by $m$-dimensional affine spaces at each point and at each (small) scale is locally a bi-Hölder image of the unit ball in $R^m$. In this paper we prove that a subset of $R^3$ which is well approximated by a minimal cone at each point and at each (small) scale is locally a bi-Hölder deformation of a minimal cone. We also prove an analogous result for more general cones in $R^n$ | |
| dc.identifier | https://arxiv.org/abs/math/0607441 | |
| dc.identifier | http://arxiv.org/abs/math/0607441 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115030 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.subject | 49Q05, 49Q10, 49Q15 | |
| dc.title | A generalization of Reifenberg's theorem in $R^3$ | |
| dc.type | text |