Han Hong

activity

20242026

most citedA splitting theorem for manifolds with spectral nonnegative Ricci curvature and mean-convex boundary

2 citations · 2 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.DG2026

Mixed Radial Volume Comparison under Spectral Ricci Bounds

Han Hong, Gaoming Wang

Let $(M^{n}, g)$ be complete, let $u > 0$ , and assume $Ric_{g} - α \frac{Δ _{g} u}{u} g \geq (n - 1) κ g$ . We introduce mixed radial balls associated with the conformal metric $u^{2 α} g$ …

math.DG2026

Stable Minimal Hypersurfaces in Positively Curved $4$ -Manifolds

Han Hong, Gaoming Wang

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…

math.DG2026

Spectral splitting theorem and ends of minimal hypersurfaces

Han Hong, Gaoming Wang

In this paper, we give a new proof of the splitting theorem on manifolds with nonnegative spectral Ricci curvature proved in [APX24, CMMR24, HW26]. Furthermore, by constructing wei…

math.DG2026

Intermediate curvature and splitting theorem

Jingche Chen, Han Hong

In this paper, we prove several rigidity results for complete noncompact manifolds with nonnegative intermediate curvatures. We show that when either $3 \leq n \leq 5$ , $1\leq m\leq…

Mixed Radial Volume Comparison under Spectral Ricci Bounds

Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds

Spectral splitting theorem and ends of minimal hypersurfaces

Intermediate curvature and splitting theorem

Stable Minimal Hypersurfaces in Positively Curved $4$ -Manifolds