《几何分析综述2019（英文版）》内容是几何分析领域**的科研工作者所写的综述性报告，文章汇报了几何分析领域的前沿热点，主要内容包括：具有正曲率的完全非紧卡勒流形；随机矩阵理论中的**间隙问题；近似Hermitian流形上的标量曲率；具有对数正则奇点的Kahler-Ricci流；与等参理论有关的问题；关于Higgs粒子束的Hermitian-Einstein方程及其应用，等等。阅读此书，有助于读者学习该领域的学科发展进展。

Contents Complete Noncompact K.ahler Manifolds with Positive Curvature Bing-Long Chen and Xi-Ping Zhu 1 Extreme Gap Problems in Random Matrix Theory. Renjie Feng 19 Classification on Singularity Types of Long-Time K.ahler-Ricci Flow Frederick Tsz-Ho Fong and Yashan Zhang 35 Scalar Curvatures on an Almost Hermitian Manifold Jixiang Fu and Xianchao Zhou 49 The K.ahler-Ricci Flow with Log Canonical Singularities Huabin Ge and Liangming Shen 61 Problems Related to Isoparametric Theory. Jianquan Ge 71 Some Recent Results on the Lp-Minkowski Problem Yong Huang， Jiakun Liu and Jian Lu 86 The Lp-Minkowski Problem Huaiyu Jian 112 Higher-Order Regularity of Collapsing Metrics in K.ahler Geometry Wangjian Jian 121 Optimal Boundary Regularity for Fast Di.usion Equations Tianling Jin and Jingang Xiong 133 Sphere Theorems for Submanifolds in K.ahler Manifold Jun Sun and Linlin Sun 145 On the Existence of the Mabuchi Soliton. Feng Wang 162 Rigidity of Entire Self-Shrinking Solutions to Lagrangian Mean Curvature Flow Wenlong Wang 174 Morse Theory for Minimal Hypersurfaces and the Multiplicity One Conjecture Zhichao Wang and Xin Zhou 189 Type-II Solutions to Mean Curvature Flow. Haotian Wu and Zhou Zhang 204 The Greatest Ricci Lower Bound and Stability Threshold Kewei Zhang 219 The Hermitian-Einstein Equation on Higgs Bundle and Its Applications Xi Zhang 226 Existence of Solutions to Mean Field Equations on Closed Riemann Surfaces Chaona Zhu 246