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Bibliographic Details
Main Author: Wang, Kai-Hsiang
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.13324
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Table of Contents:
  • In this article, we show that for one-phase free boundary problems in noncollapsed limits of $n$-dimensional manifolds with two-sided Ricci curvature bounds, the Hausdorff dimension of the singular set of the free boundary can be bounded by $n-5$, which is sharp in this context.