●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
内容简介
本书内容是几何分析领域很好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：具有正曲率的接近非紧卡勒流形；随机矩阵理论中的特别间隙问题；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。本书适合数学领域的科研工作者、教师和研究生阅读。
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