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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_{…
Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities
Marcus Khuri, Jian Wang, Jinmin Wang
We prove the Riemannian positive mass theorem in all dimensions for asymptotically flat -metrics with subcritical singular sets. More precisely, we consider complete asym…
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…
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…
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…