4 papers
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(-αÎ+\ope…
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…