collaborators

6 papers

math.DG2026

Simplicial Volume and Scalar Curvature on Closed Kähler Surfaces

Jie Min, Fangyang Zheng, Bo Zhu

Let be a closed Kähler surface. We prove that every Riemannian metric on with , where , satisfies $$ \lVert M\rVert\leq \frac{27}{…

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…

math.DG2026

Sharp bottom spectrum and scalar curvature rigidity

Jinmin Wang, Bo Zhu

We establish a sharp upper bound for the bottom spectrum of the Beltrami Laplacian on universal covers of closed Riemannian manifolds with a scalar curvature lower bound. Moreover,…

math.DG2026

Scalar curvature, sharp bottom spectrum and geometric rigidity

Jinmin Wang, Bo Zhu

We prove rigidity in the equality case of the sharp bottom spectrum estimate under scalar curvature lower bound. Under the same topological assumptions as in our previous work, a c…

math.KT2025

-coarse Baum-Connes conjecture for -coarse embeddable spaces

Jinmin Wang, Zhizhang Xie, Guoliang Yu +1

We prove an -version of the coarse Baum-Connes conjecture for spaces that coarsely embedds into -spaces for any and in .

math.DG2025

Scalar-mean rigidity theorem for compact manifolds with boundary

Jinmin Wang, Zhichao Wang, Bo Zhu

We prove a scalar-mean rigidity theorem for compact Riemannian manifolds with boundary in dimension less than five by developing a dimension reduction argument for mean curvature,…