Kun-Tao Jin

collaborators

2 papers

math.DG2026

A sharp hyperbolic volume bound for hypersurfaces in $M^{3} \times S^{1}$

Lizhi Chen, Kuntao Jin

Let $(M^{3}, g_{hyp})$ be a closed oriented hyperbolic three-manifold normalized so that $sec_{g_{hyp}} \equiv - 1$ . 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…

A sharp hyperbolic volume bound for hypersurfaces in M3×S1

McKean Rigidity for Cocompact Negatively Curved Manifolds and the \(p\)-Laplacian

A sharp hyperbolic volume bound for hypersurfaces in $M^{3} \times S^{1}$