It is shown that, for the Yang-Mills flow, a sequence of blow-ups of a rapidly forming singularity will converge, modulo the gauge group, to a non-trivial homothetically shrinking soliton. Explicit examples of homothetically shrinking solitons are given in the case of trivial bundles over Rn for 5 ≤ n ≤ 9.
|Original language||English (US)|
|Number of pages||10|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Feb 2004|
ASJC Scopus subject areas
- Applied Mathematics