Partial regularity of mass-minimizing Cartesian currents
| dc.creator | Johnson, David L. | |
| dc.creator | Smith, Penelope | |
| dc.date | 2004-03-28 | |
| dc.date | 2008-07-17 | |
| dc.date.accessioned | 2026-07-07T09:50:46Z | |
| dc.date.available | 2026-07-07T09:50:46Z | |
| dc.description | Let B be a fiber bundle with compact fiber F over a compact Riemannian n-manifold M. There is a natural Riemannian metric on the total space B consistent with the metric on M. With respect to that metric, the volume of a rectifiable section s:M--> B is the mass of the image s(M) as a rectifiable n-current in B. Theorem: For any homology class of sections of B, there is a mass-minimizing Cartesian current T representing that homology class which is the graph of a C^1 section on an open dense subset of M. | |
| dc.description | 36 pages, no figures. Published version, with minor revisions from previous arxive version | |
| dc.identifier | https://arxiv.org/abs/math/0403483 | |
| dc.identifier | http://arxiv.org/abs/math/0403483 | |
| dc.identifier | Ann. Global Analysis and Geometry 30 (2006), 239-287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165054 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 49F20, 49F22, 49F10, 58A25, 53C42, 53C65 | |
| dc.title | Partial regularity of mass-minimizing Cartesian currents | |
| dc.type | text |