Yang-Mills flow on special-holonomy manifolds
Differential Geometry
2023-05-17 v2
Abstract
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 -form.
Cite
@article{arxiv.1812.10866,
title = {Yang-Mills flow on special-holonomy manifolds},
author = {Goncalo Oliveira and Alex Waldron},
journal= {arXiv preprint arXiv:1812.10866},
year = {2023}
}
Comments
Small edits, formulae in section 4.4 corrected, submitted. 40 pages