19 citations · 111 across the 40 of their papers we have counts for
42 papers
Torus and Positive Mass stability for metrics with Ricci curvature lower bound
Edward Bryden, Zhizhang Xie
Consider a sequence of metrics on the torus whose members have uniform lower bounds on their first stable systoles and Ricci curvatures, and have a uniform upper bound on the…
A -systolic inequality for
Jinmin Wang, Zhizhang Xie
We prove a sharp -systolic inequality for four-dimensional products , where is an arbitrary convex polygon. Let $h=g_{\mathbb S^2}+g_{…
Gromov's dihedral rigidity conjecture in dimension three
Jinmin Wang, Zhizhang Xie, Guoliang Yu
In this article, we present a self-contained proof of Gromov's dihedral rigidity conjecture on scalar curvature in the three-dimensional case. The proof avoids many of the technica…
Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature
Qiaochu Ma, Jinmin Wang, Zhizhang Xie +2
In this paper, we prove Gromov's simplicial volume vanishing conjecture for closed manifolds with spin universal cover. More precisely, we show that if a closed oriented manifold a…
-metrics on tori and Schoen's conjecture
Jian Wang, Jinmin Wang, Zhizhang Xie
We prove Schoen's conjecture on -metrics for tori. More precisely, we show that any -metric on a torus that is smooth and has non-negative scalar curvature away…
Scalar-mean rigidity beyond warped product spaces
Jinmin Wang, Zhizhang Xie
The main scalar-mean extremality and rigidity results in the existing literature concern manifolds whose curvature operators are nonnegative, or warped product spaces with a log-co…