Codimension four regularity of generalized Einstein structures

Abstract

We establish codimension 4 regularity of noncollapsed sequences of metrics with bounds on natural generalizations of the Ricci tensor. We obtain a priori L2 curvature estimates on such spaces, with diffeomorphism finiteness results and rigidity theorems as corollaries.

arXiv admin note: text overlap with arXiv:1605.05583