Journal
ADVANCES IN MATHEMATICS
Volume 376, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2020.107418
Keywords
Geometric flows; Gauge theory; Special holonomy manifolds
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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.
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.
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