2 citations · 2 across the 7 of their papers we have counts for
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Mixed Radial Volume Comparison under Spectral Ricci Bounds
Han Hong, Gaoming Wang
Let be complete, let , and assume . We introduce mixed radial balls associated with the conformal metric …
Stable Minimal Hypersurfaces in Positively Curved -Manifolds
Han Hong, Gaoming Wang
Let 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…
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…
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 , $1\leq m\leq…
A splitting theorem for manifolds with spectral nonnegative Ricci curvature and mean-convex boundary
Han Hong, Gaoming Wang
We prove a splitting theorem for a smooth noncompact manifold with (possibly noncompact) boundary. We show that if a noncompact manifold of dimension has $λ_1(-αΔ+\operat…
A splitting theorem for 3-manifold with nonnegative scalar curvature and mean-convex boundary
Han Hong, Gaoming Wang
We show that a Riemannian 3-manifold with nonnegative scalar curvature and mean-convex boundary is flat if it contains an absolutely area-minimizing (in the free boundary sense) ha…
On -Stable Minimal Hypersurfaces in
Han Hong, Haizhong Li, Gaoming Wang
In this paper, we extend several results established for stable minimal hypersurfaces to -stable minimal hypersurfaces. These include the regularity and compactness theorems for…