6 citations · 15 across the 21 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.DG2021
On Gromov's dihedral extremality and rigidity conjectures
Jinmin Wang, Zhizhang Xie, Guoliang Yu
In this paper, we develop a new index theory for manifolds with polyhedral boundary. As an application, we prove Gromov's dihedral extremality conjecture regarding comparisons of s…
math.DG2021★ 6 cited
A proof of Gromov's cube inequality on scalar curvature
Jinmin Wang, Zhizhang Xie, Guoliang Yu
Gromov proved a cube inequality on the bound of distances between opposite faces of a cube equipped with a positive scalar curvature metric in dimension using minimal surf…
math.DG2021★ 3 cited
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension
Jinmin Wang, Zhizhang Xie, Guoliang Yu
Gromov proved a quadratic decay inequality of scalar curvature for a class of complete manifolds. In this paper, we prove that for any uniformly contractible manifold with finite a…