Codimension four regularity of generalized Einstein structures

2021/07/16 by Fu, Xin, Naber, Aaron, Streets, Jeffrey · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2107.08108

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.

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• The Bounded Diameter Conjecture and Sharp Geometric Estimates for Mean Curvature Flow

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