Singularity formation in the Yang-Mills flow
| dc.creator | Weinkove, Ben | |
| dc.date | 2002-10-08 | |
| dc.date | 2003-05-31 | |
| dc.date.accessioned | 2026-07-07T04:51:45Z | |
| dc.date.available | 2026-07-07T04:51:45Z | |
| dc.description | This paper studies rapidly forming singularities in the Yang-Mills flow. It is shown that a sequence of blow-ups near the singular point converges, modulo the gauge group, to a homothetically shrinking soliton with non-zero curvature. The proof uses Hamilton's monotonicity formula. Examples of homothetically shrinking solitons are given in the case of trivial bundles over R^n for dimensions 5 through 9. | |
| dc.description | 13 pages. Final version, to appear in Calculus of Variations | |
| dc.identifier | https://arxiv.org/abs/math/0210128 | |
| dc.identifier | http://arxiv.org/abs/math/0210128 | |
| dc.identifier | Calc. Var. Partial Differential Equations 19 (2004), no. 2, 211--220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65223 | |
| dc.subject | Differential Geometry | |
| dc.title | Singularity formation in the Yang-Mills flow | |
| dc.type | text |