Regularity of area-minimizing surfaces in 3D polytopes and of invariant hypersurfaces in R^n
| dc.creator | Morgan, Frank | |
| dc.date | 2004-04-27 | |
| dc.date.accessioned | 2026-07-07T05:07:45Z | |
| dc.date.available | 2026-07-07T05:07:45Z | |
| dc.description | In (the surface of) a convex polytope P^3 in R^4, an area-minimizing surface avoids the vertices of P and crosses the edges orthogonally. In a smooth Riemannian manifold M with a group of isometries G, an area-minimizing G-invariant oriented hypersurface is smooth (except for a very small singular set in high dimensions). Already in 3D, area-minimizing G-invariant unoriented surfaces can have certain singularities, such as three orthogonal sheets meeting at a point. We also treat other categories of surfaces such as rectifiable currents modulo nu and soap films. | |
| dc.identifier | https://arxiv.org/abs/math/0404481 | |
| dc.identifier | http://arxiv.org/abs/math/0404481 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70981 | |
| dc.subject | Metric Geometry | |
| dc.subject | 49Q20 | |
| dc.title | Regularity of area-minimizing surfaces in 3D polytopes and of invariant hypersurfaces in R^n | |
| dc.type | text |