Author

Gao-Ming Wang

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Preprint Sep 2026

Mixed Radial Volume Comparison under Spectral Ricci Bounds

Let $(M^n,g)$ be complete, let $u>0$, and assume $\operatorname{Ric}_g-\alpha\frac{\Delta_g u}{u}g\ge (n-1)\kappa g$. We introduce mixed radial balls associated with the conformal metric $u^{2\alpha}g$. For these mixed radial balls, we obtain a space-form-sharp model comparison and polynomial weighted volume growth wit...

Han Hong, Gao-Ming Wang · 1 citation

Preprint Jul 2026

Regularity of branched stable minimal immersed hypersurfaces

We establish a sharp bound on the Hausdorff dimension of the non-branch singular set of branched stable minimal immersed hypersurfaces whose singular sets have locally finite $\mathcal H^{n-2}$-measure: the non-branch singular set is empty when $n=2$, discrete when $n=3$, and has Hausdorff dimension at most $n-3$ when...

Gaoming Wang, Xuwen Zhang · 0 citations

Preprint Aug 2026

Stable Minimal Hypersurfaces in Positively Curved $4$-Manifolds

Let $M^3\to X^4$ be a complete, connected, two-sided stable minimal immersion. We prove that if the ambient sectional curvature is nonnegative and the ambient scalar curvature has a positive uniform lower bound, then $M$ is totally geodesic and its normal Ricci curvature vanishes. No weak bounded geometry assumption an...

Han Hong, Gao-Ming Wang · 0 citations