Kai-Hsiang Wang

activity

20202026

most citedLower Ricci Curvature and Nonexistence of Manifold Structure

4 citations · 7 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.DG2026

Quantitative Volume Estimate on Singular Sets of One-phase Free Boundary Problems in Ricci Limit Spaces

Alejandro Bellati, Kai-Hsiang Wang

We study limit solutions of the one-phase free boundary problem on noncollapsed Ricci limit spaces. We introduce a quantitative stratification $S_{ε, r}^{k}$ of th…

math.DG2026

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity

Chao-Ming Lin, Kai-Hsiang Wang

We introduce a weighted version of intermediate Ricci curvature and establish several equivalent characterizations of its lower bound. As an application, we generalize the results…

math.AP2026

Dimension Bound of Singular Set of One-Phase Free Boundary Problems in Spaces with Two-Sided Ricci Bound

Kai-Hsiang Wang

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 dimensio…