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20242026
most citedA splitting theorem for manifolds with spectral nonnegative Ricci curvature and mean-convex boundary

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math.DG2025★ 2 cited

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…

math.DG2025

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…