Singularity formation in the Yang-Mills Flow

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 R ⁿ for .Received: 22 November 2002, Accepted: 12 March 2003, Published online: 6 June 2003Mathematics Subject Classification (2000): 53C44