Jinmin Wang

activity

20192026

most citedA proof of Gromov's cube inequality on scalar curvature

6 citations · 15 across the 21 of their papers we have counts for

collaborators

23 papers

math.DG2026

A $2$ -systolic inequality for $S^{2} \times P$

Jinmin Wang, Zhizhang Xie

We prove a sharp $2$ -systolic inequality for four-dimensional products $S^{2} \times P$ , where $P \subset R^{2}$ is an arbitrary convex polygon. Let $h=g_{\mathbb S^2}+g_{…

math.DG2026

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 $L^{\infty}$ -metrics with subcritical singular sets. More precisely, we consider complete asym…

math.DG2026

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…

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.DG2026

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…

math.DG2026

$L^{\infty}$ -metrics on tori and Schoen's conjecture

Jian Wang, Jinmin Wang, Zhizhang Xie

We prove Schoen's conjecture on $L^{\infty}$ -metrics for tori. More precisely, we show that any $L^{\infty}$ -metric on a torus that is smooth and has non-negative scalar curvature away…

math.DG2025

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…

math.KT2024

$ℓ^{p}$ -coarse Baum-Connes conjecture for $ℓ^{q}$ -coarse embeddable spaces

Jinmin Wang, Zhizhang Xie, Guoliang Yu +1

We prove an $ℓ^{p}$ -version of the coarse Baum-Connes conjecture for spaces that coarsely embedds into $ℓ^{q}$ -spaces for any $p$ and $q$ in $[1, \infty)$ .

math.DG2024

Scalar curvature rigidity of spheres with subsets removed and $L^{\infty}$ metrics

Jinmin Wang, Zhizhang Xie

We prove the scalar curvature rigidity for $L^{\infty}$ metrics on $S^{n} \Σ$ , where $S^{n}$ is the $n$ -dimensional sphere with $n \geq 3$ and $Σ$ is a closed subs…

math.DG2024★ 1 cited

Scalar curvature rigidity of the four-dimensional sphere

Simone Cecchini, Jinmin Wang, Zhizhang Xie +1

Let $(M, g)$ be a closed connected oriented (possibly non-spin) smooth four-dimensional manifold with scalar curvature bounded below by $n (n - 1)$ . In this paper, we prove that if $f$ …

math.DG2023

Filling Radius, Quantitative $K$ -theory and Positive Scalar Curvature

Jinmin Wang, Zhizhang Xie, Guoliang Yu +1

We prove a quantitative upper bound on the filling radius of complete, spin manifolds with uniformly positive scalar curvature using the quantitative operator $K$ -theory and index…

math.DG2023★ 1 cited

Scalar curvature rigidity of degenerate warped product spaces

Jinmin Wang, Zhizhang Xie

In this paper we prove the scalar curvature extremality and rigidity for a class of warped product spaces that are possibly degenerate at the two ends. The leaves of these warped p…

math.DG2023★ 1 cited

Dihedral rigidity for submanifolds of warped product manifolds

Jinmin Wang, Zhizhang Xie

In this paper, we prove a dihedral extremality and rigidity theorem for a large class of codimension zero submanifolds with polyhedral boundary in warped product manifolds. We rema…

math.DG2022★ 1 cited

Positive Scalar Curvature Meets Ricci Limit Spaces

Jinmin Wang, Zhizhang Xie, Bo Zhu +1

We investigate the influence of uniformly positive scalar curvature on the size of a non-collapsed Ricci limit space coming from a sequence of $n$ -manifolds with non-negative Ricci…

math.DG2022

Rigidity of strictly convex domains in Euclidean spaces

Jinmin Wang, Zhizhang Xie

In this paper, we prove a rigidity theorem for smooth strictly convex domains in Euclidean spaces.

math.KT2022

$l^{1}$ -higher index, $l^{1}$ -higher rho invariant and cyclic cohomology

Jinmin Wang, Zhizhang Xie, Guoliang Yu

In this paper, we study $l^{1}$ -higher index theory and its pairing with cyclic cohomology for both closed manifolds and compact manifolds with boundary. We first give a sufficient g…

math.DG2022

On Gromov's flat corner domination conjecture and Stoker's conjecture

Jinmin Wang, Zhizhang Xie

In this paper, we prove Gromov's flat corner domination conjecture in all dimensions. As a consequence, we answer positively the Stoker conjecture for convex Euclidean polyhedra in…

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 $\leq 8$ 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…

math.KT2020★ 2 cited

Approximations of delocalized eta invariants by their finite analogues

Jinmin Wang, Zhizhang Xie, Guoliang Yu

For a given self-adjoint first order elliptic differential operator on a closed smooth manifold, we prove a list of results on when the delocalized eta invariant associated to a re…

math.KT2019

On localized signature and higher rho invariant of fibered manifolds

Hongzhi Liu, Jinmin Wang

Higher index of signature operator is a far reaching generalization of signature of a closed oriented manifold. When two closed oriented manifolds are homotopy equivalent, one can…

math.KT2019

Delocalized eta invariants, cyclic cohomology and higher rho invariants

Xiaoman Chen, Jinmin Wang, Zhizhang Xie +1

The first main result of this paper is to prove that the convergence of Lott's delocalized eta invariant holds for all differential operators with a sufficiently large spectral gap…

A 2-systolic inequality for S2×P

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities

Gromov's dihedral rigidity conjecture in dimension three

Scalar curvature, sharp bottom spectrum and geometric rigidity

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature

L∞-metrics on tori and Schoen's conjecture

Scalar-mean rigidity beyond warped product spaces

ℓp-coarse Baum-Connes conjecture for ℓq-coarse embeddable spaces

Scalar curvature rigidity of spheres with subsets removed and L∞ metrics

Scalar curvature rigidity of the four-dimensional sphere

Filling Radius, Quantitative K-theory and Positive Scalar Curvature

Scalar curvature rigidity of degenerate warped product spaces

Dihedral rigidity for submanifolds of warped product manifolds

Positive Scalar Curvature Meets Ricci Limit Spaces

Rigidity of strictly convex domains in Euclidean spaces

l1-higher index, l1-higher rho invariant and cyclic cohomology

On Gromov's flat corner domination conjecture and Stoker's conjecture

On Gromov's dihedral extremality and rigidity conjectures

A proof of Gromov's cube inequality on scalar curvature

Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension

Approximations of delocalized eta invariants by their finite analogues

On localized signature and higher rho invariant of fibered manifolds

Delocalized eta invariants, cyclic cohomology and higher rho invariants

A $2$ -systolic inequality for $S^{2} \times P$

$L^{\infty}$ -metrics on tori and Schoen's conjecture

$ℓ^{p}$ -coarse Baum-Connes conjecture for $ℓ^{q}$ -coarse embeddable spaces

Scalar curvature rigidity of spheres with subsets removed and $L^{\infty}$ metrics

Filling Radius, Quantitative $K$ -theory and Positive Scalar Curvature

$l^{1}$ -higher index, $l^{1}$ -higher rho invariant and cyclic cohomology