3 papers
math.DG2026
Positive scalar curvature on products of noncompact manifolds
Lizhi Chen, Kuntao Jin, Milan Jovanovic
We prove that the product of three connected noncompact smooth manifolds without boundary admits a complete metric of uniformly positive scalar curvature. The proof uses the additi…
math.DG2026
A sharp hyperbolic volume bound for hypersurfaces in
Lizhi Chen, Kuntao Jin
Let be a closed oriented hyperbolic three-manifold normalized so that . We prove a sharp lower bound for…
math.DG2026
McKean Rigidity for Cocompact Negatively Curved Manifolds and the \(p\)-Laplacian
Kuntao Jin, Bo Zhu
Let \((M^m,g)\) be a closed Riemannian manifold with \(\sec_g\leq-1\). We prove that the bottom spectrum of its universal cover attains McKean's lower bound if and only if the univ…