Mingxiang Li

activity

20242026

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Showing 2026Show all

7 papers · 1 filter

math.GR2026

Invariable Generation of Groups of Homeomorphisms

Neelam, Davide Perego, Matteo Tarocchi

We provide a sufficient condition for a group of homeomorphisms of a compact Hausdorff space to be non-invariably generated, generalizing previous results proved using the dynamics…

math.DG2026

Volume growth and integral curvature bound for non-negatively curved three-manifolds

Pak-Yeung Chan, Man-Chun Lee, Mingxiang Li

Motivated by results in Kähler geometry, in this work, we are interested in understanding the relation between integral curvature bounds and volume growth, under non-negative curva…

math.DG2026

A Cheng-Yau type estimate for positive biharmonic functions

Guosheng Jiang, Mingxiang Li, Zhehui Wang

We establish a Cheng-Yau type estimate for positive biharmonic functions on complete Riemannian manifolds with Ricci curvature satisfies $R i c_{g} \geq - (n - 1) K g$ . If $u$ is a positive…

math.DG2026

On the proof of Bray's conjecture

Xumin Jiang, Mingxiang Li, Zhehui Wang

Let $(M^{n}, g)$ be a connected, closed, smooth Riemannian manifold with dimension $n \geq 3$ . There exists a positive constant $ε_{n} < 1$ such that, if Ricci curvature $\operat…

math.DG2026

Bonnet-Myers type theorems for $Q$ -curvature on four-manifolds

Xumin Jiang, Mingxiang Li, Zhehui Wang

Let $(M^{4}, g)$ be a complete four-dimensional Riemannian manifold. First, if the $Q$ -curvature $Q_{g} \geq 6 k^{2}$ and scalar curvature $R_{g} \geq - 12 k$ for some positive constant $k$ , the…

math.DG2026

On the positivity of Yamabe invariant and Paneitz operator

Mingxiang Li

Let $(M^{n}, g)$ be a smooth compact Riemannian manifold of dimension $n \geq 5$ . We show that the existence of a conformal metric with positive $Q$ -curvature $Q_{g}$ and positive scalar…

math.DG2026

A sharp isoperimetric inequality and the top order $Q$ -curvature

Mingxiang Li, Xingwang Xu

For a smooth, complete and normal metric $g = e^{2 u} ∣ d x ∣^{2}$ with finite total $n$ -th order $Q$ -curvature on $R^{n}$ with dimension $n \geq 2$ , we first show that everywhere…

Invariable Generation of Groups of Homeomorphisms

Volume growth and integral curvature bound for non-negatively curved three-manifolds

A Cheng-Yau type estimate for positive biharmonic functions

On the proof of Bray's conjecture

Bonnet-Myers type theorems for Q-curvature on four-manifolds

On the positivity of Yamabe invariant and Paneitz operator

A sharp isoperimetric inequality and the top order Q-curvature

Bonnet-Myers type theorems for $Q$ -curvature on four-manifolds

A sharp isoperimetric inequality and the top order $Q$ -curvature