几何分析综述2023(英文版)

Contents
Critical Allard Regularity in Dimension Two and Its Application　Yuchen Bi， Jie Zhou 1
A Survey on the Complex Hessian Equation on Compact K.hler Manifolds　Jianchun Chu 14
Minimal Graphs over Manifolds　Qi Ding 28
Deformation Quantization and Noncommutative Differential Geometry　Haoyuan Gao， Xiao Zhang 48
The Isoperimetric Problem in Riemannian Manifolds Endowed with Conformal Vector Fields　Jiayu Li， Shujing Pan 69
Adiabatic Limit Formula for Bismut-Cheeger eta Forms　Bo Liu， Mengqing Zhan 81
Optimal Degeneration Problem of Fano Threefolds　Minghao Miao 95
Spaces with Ricci Curvature Lower Bounds　Jiayin Pan， Guofang Wei 103
Harmonic Metrics and Higgs Bundles　Di Wu 120
Pluriclosed Flow on Hermitian-Symplectic Manifolds　Yanan Ye 134
Weyl’s Lemma on RCD(K，N)-spaces and an Application to PDEs on Rn　Peng Yu， Hui-Chun Zhang， Xi-Ping Zhu 140
Quadratic Hessian Equation　Yu Yuan 157
Transcendental Okounkov Bodies　Kewei Zhang 178
Log Gradient Estimates for Heat Type Equations on Manifolds　Qi S. Zhang 186