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math.DG2025
Scalar curvature rigidity of domains in a 3-dimensional warped product
Xiaoxiang Chai, Gaoming Wang
A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the Llarull type. We develop a scalar curvature rig…
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…