Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

M. Petrache

A singular radial connection over B⁵ minimizing the Yang-Mills energy

created by petrache on 07 Dec 2013



Inserted: 7 dec 2013
Last Updated: 7 dec 2013

Year: 2013


We prove that the pullback of the $SU(n)$-soliton of Chern class $c_2=1$ over $\mathbb S^4$ via the radial projection $\pi:\mathbb B^5\backslash\{0\}\to \mathbb S^4$ minimizes the Yang-Mills energy under the fixed boundary trace constraint. In particular this shows that stationary Yang-Mills connections in high dimension can have singular sets of codimension $5$.


Credits | Cookie policy | HTML 5 | CSS 2.1