Yang-Mills flow on special-holonomy manifolds

This paper develops Yang-Mills flow on Riemannian manifolds with special holonomy. By analogy with the second-named author's thesis, we find that a supremum bound on a certain curvature component is sufficient to rule out finite-time singularities. Assuming such a bound, we prove that the infinite-time bubbling set is calibrated by the defining (n-4)-form. (c) 2020 Elsevier Inc. All rights reserved.

Automated summary

This paper develops Yang-Mills flow on Riemannian manifolds with special holonomy. It is found that a supremum bound on a certain curvature component is sufficient to rule out finite-time singularities, and the infinite-time bubbling set is calibrated by the defining (n-4)-form when such a bound is assumed.