On 1-Harmonic Functions
| dc.creator | Wei, Shihshu Walter | |
| dc.date | 2007-12-27 | |
| dc.date.accessioned | 2026-07-07T09:34:50Z | |
| dc.date.available | 2026-07-07T09:34:50Z | |
| dc.description | Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1$-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface of such a subsolution is calibrated and hence is area-minimizing over $\mathbb{R}$; and every 7-dimensional $SO(2)\times SO(6)$-invariant absolutely area-minimizing integral current in $\mathbb{R}^8$ is real analytic. The assumption on the $SO(2) \times SO(6)$-invariance cannot be removed, due to the first counter-example in $\mathbb{R}^8$, proved by Bombieri, De Girogi and Giusti. | |
| dc.description | This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0712.4282 | |
| dc.identifier | http://arxiv.org/abs/0712.4282 | |
| dc.identifier | SIGMA 3 (2007), 127, 10 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159638 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | On 1-Harmonic Functions | |
| dc.type | text |