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Ling-Ling Kong

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Preprint Sep 2026

Codimension-four regularity of noncollapsed Ricci limit spaces under an integral volume-deficit bound

Let $(X,d,p)$ be an $n$-dimensional noncollapsed Ricci limit space, where $n\ge4$. Under an integral volume-deficit bound, we prove that the metric singular set has Hausdorff codimension at least four and sigma-finite $(n-4)$-dimensional Hausdorff measure. This establishes a special case of the codimension-four regular...

Ling-Ling Kong · 0 citations

Preprint Sep 2026

Codimension-three regularity of noncollapsed Ricci limit spaces under an integral volume-deficit bound

Let $(X,d,p)$ be a noncollapsed pointed Gromov--Hausdorff limit of complete $n$-dimensional Riemannian manifolds with a uniform lower Ricci curvature bound, where $n\ge4$. We assume that, on each bounded ball, the integral of the $3/2$ power of the small-ball volume deficit relative to the hyperbolic comparison volume...

Ling-Ling Kong · 1 citation · ⚡1