Singularity formation in the Yang-Mills Flow

Weinkove, Ben
February 2004
Calculus of Variations & Partial Differential Equations;Feb2004, Vol. 19 Issue 2, p211
Academic Journal
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.


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