百晓学者学者目录

徐国义

副教授、助理教授、博导,清华大学

精选作品

期刊论文

2026

Weyl's law for Neumann Laplacian revisited

Weiwei Wang, Zuoqin Wang, Guoyi Xu

Communications in Analysis and Geometry

2025

The Sharp Diameter Bound of Stable Minimal Surfaces

Qixuan Hu, Guoyi Xu, Shuai Zhang

Journal of Geometric Analysis

2025

Extrinsic Bonnet–Myers Theorem and almost rigidity

Weiying Li, Guoyi Xu

manuscripta mathematica

2024

The rigidity of eigenfunctions’ gradient estimates

Guoyi Xu, Xiaolong Xue

Mathematische Zeitschrift

2024

The first Dirichlet eigenvalue and the width

Guoyi Xu

Journal of Functional Analysis

2023

The construction of $$\epsilon $$-splitting map

Guoyi Xu, Jie Zhou

Calculus of Variations and Partial Differential Equations

2023

Integral of scalar curvature on manifolds with a pole

Guoyi Xu

2022

The Rigidity and Stability of Gradient Estimates

Qixuan Hu, Guoyi Xu, Chengjie Yu

Journal of Geometric Analysis

2021

The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls

Haibin Wang, Guoyi Xu, Jie Zhou

Mathematische Zeitschrift

2020

The growth rate of harmonic functions

Guoyi Xu

Journal of the London Mathematical Society

2019

Integral of Scalar Curvature on Non-parabolic Manifolds

Guoyi Xu

Journal of Geometric Analysis

2019

Local estimate of fundamental groups

Guoyi Xu

Advances in Mathematics

2016

Three circles theorems for harmonic functions

Guoyi Xu

Mathematische Annalen

2016

The (p;m)-width of Riemannian manifolds and its realization

Guoyi Xu

2015

Lower bound of Ricci flow's existence time

Guoyi Xu

Bulletin of the London Mathematical Society

2015

An equation linking 𝒲-entropy with reduced volume

Guoyi Xu

Journal für die reine und angewandte Mathematik (Crelles Journal)

2014

Large time behavior of the heat kernel

Guoyi Xu

Journal of Differential Geometry

2013

Short-time existence of the Ricci flow on noncompact Riemannian manifolds

Guoyi Xu

Transactions of the American Mathematical Society

2013

Local pinching estimates in 3-dim Ricci flow

Bing-Long Chen, Guoyi Xu, Zhuhong Zhang

Mathematical Research Letters

2012

The short time asymptotics of Nash entropy

Guoyi Xu

2010

Workshop on Extrinsic Geometric Flows

R. Gulliver, Guoyi Xu

2010

Harmonic mean curvature flow in Riemannian manifolds and Ricci flow on noncompact manifolds.

Guoyi Xu

2009

Examples of hypersurfaces flowing by curvature in a Riemannian manifold

R. Gulliver, Guoyi Xu

预印本

2026

Integral of Scalar Curvature: Sharp Asymptotic Bounds and Rigidity

Guoyi Xu

arXiv (Cornell University)

2026

Integral of Scalar Curvature under Volume Collapse

Guoyi Xu

arXiv preprint

2026

Eigenvalues on spheres

Shengjie Lin, Haibin Wang, Guoyi Xu

arXiv preprint

2026

Integrals and Rigidity on Manifolds with Nonnegative Ricci Curvature

Zixuan Chen, Guoyi Xu, Shuai Zhang

arXiv preprint

2026

A Harmonic-Map Proof of Mostow Rigidity

Guoyi Xu

arXiv preprint

2024

Volume growth and positive scalar curvature

Guodong Wei, Guoyi Xu, Shuai Zhang

Transactions of the American Mathematical Society

2024

The first Neumann eigenvalue and the width

Haibin Wang, Guoyi Xu

arXiv preprint

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