6 papers
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,…
Quantitative partitioned index theorem and noncompact band-width
Peter Hochs, Jinmin Wang
Gromov's band-width conjecture gives a precise upper bound for the width of a compact Riemannian band with positive scalar curvature lower bound, assuming that the cross-section of…
Non-negative scalar curvature on spin surgeries and Novikov conjecture
Jinmin Wang
Let be a closed aspherical manifold. Assume that the rational strong Novikov conjecture holds for . We show that on any spin surgery of along a region whose induce…
A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities
Milan Jovanovic, Jinmin Wang
We use the Dirac operator method to prove a scalar-mean curvature comparison theorem for spin manifolds which carry iterated conical singularities. Our approach is to study the ind…
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,…
Bounding the A-hat genus using scalar curvature lower bounds and isoperimetric constants
Qiaochu Ma, Jinmin Wang, Guoliang Yu +1
In this paper, we prove an upper bound on the genus of a smooth, closed, spin Riemannian manifold using its scalar curvature lower bound, Neumann isoperimetric consta…