几何分析是近几十年来非常重要的学科，比如拓扑中的著名庞加莱猜想的解决实际上利用了几何分析的思想和方法。丘成桐教授是现代几何分析的奠基人之一，也是积极的参与者。在伟大的数学家当中，很少有像丘先生那样花费很多时间去撰写大量的综述文章。《丘成桐综述文章选集（附评论第Ⅰ、Ⅱ卷）》收集了丘成桐教授2013年前所有的综述文章及丘先生总结的微分几何未解决问题的论述。更重要的是，丘先生对每篇文章都在当今意义下作出了评论并指出该论题的最新进展，对未解决问题也作了系统的分析及这些问题的最新总结。本书主编还特邀请了多位相关领域专家对丘先生工作及相关领域最新结果作出了评论。可以说这两卷著作就是近代几何分析发展的缩影，每一位对几何分析感兴趣的学生和专家都可以从中获益。 本书是其中的第Ⅱ卷。

     丘成桐先生是当代最伟大的数学大师之一，著名科学家，哈佛大学数学系系主任、讲座教授，清华大学数学科学中心主任。丘先生1949年生于广东，22岁获博士学位。他获得了菲尔兹奖、沃尔夫奖、克莱福特奖、美国国家科学奖等国际顶级大奖，是美、俄、中、意四国科学院院士。他解决了“卡拉比猜想”、广义相对论中的“正质量猜想”、超弦理论中的“镜对称猜想”等众多世界难题。他是几何分析学科奠基人，他领导的团队为解决“庞加莱猜想”作出了重要贡献。他在中国大陆、香港、台湾创办了五大数学研究机构，领导举办了世界华人数学家大会，创办了丘成桐中学数学奖、丘成桐数学英才班、丘成桐大学生数学竞赛、新世界数学奖、晨兴数学奖，在国内出版了《微分几何》、《调和映照讲义》等专著，创办了《数学与人文》、《数学与数学人》科普丛书，为中国的人才培养、科学研究、学术交流以及中国数学界与海外科研学术合作作出了巨大贡献，荣获国务院颁发的中华人民共和国国际科技合作奖。

Volume II
Preface
Shing-Tung Yau
Shing-Tung Yau, His Mathematics and Writings
Lizhen Ji
Commentary on
Perspectives on Geometric Analysis
Perspectives on Geometric Analysis
Shing-Tung Yau
Commentary on
A Survey of Calabi-Yau Manifolds
A Survey of Calabi-Yau Manifolds
Shing-Tung Yau
Commentary on
Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics Volume II
  Preface
      Shing-Tung Yau
  Shing-Tung Yau, His Mathematics and Writings
      Lizhen Ji
  Commentary on
      Perspectives on Geometric Analysis
  Perspectives on Geometric Analysis
      Shing-Tung Yau
  Commentary on
      A Survey of Calabi-Yau Manifolds
  A Survey of Calabi-Yau Manifolds
      Shing-Tung Yau
  Commentary on
      Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics
  Linear Waves in the Kerr Geometry: A Mathematical Voyage to
      Black Hole Physics
      Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau
  Commentary on
      Recent Development on the Geometry of the Teichmiiller and Moduli Spaces of Riemann Surfaces
  Recent Development on the Geometry of the Teichmiiller and Moduli Spaces of Riemann Surfaces
      Kefeng Liu, Xiaofeng Sun, and Shing-Tung Yau
  Commentary on
      Deformation of Kahler-Einstein Metrics
  Deformation of Kahler-Einstein Metrics
      Xiaofeng Sun, Shing-Tung Yau
  Commentary on
      String Theory and the Geometry of the Universe's Hidden Dimensions
  String Theory and the Geometry of the Universe's
      Hidden Dimensions
      Shing-Tung Yau and Steve Nadis
  Commentary on
      Shiing-Shen Chern
  Shiing-Shen Chern (1911-2004)
      Shing-Tung Yau
  Commentary on
      A Survey on Recent Development in Computational Quasi-conformal
      Geometry and its Applications
  A Survey on Recent Development in Computational Quasi-conformal
      Geometry and its Applications
      Lok Ming Lui, Tsz Wai Wong, Wei Zeng, Xiangfeng Gu,
      Paul M. Thompson, Tony F. Chan, and Shing-Tung Yau
  Commentary on
      Recent Development of Computational Conformal Geometry
  Recent Development of Computational Conformal Geometry
      David Xianfeng Gu, Wei Zeng, Lok Ming Lui, Feng Luo, and Shing-Tung Yau
  Commentary on
      Mirror Symmetry and Localizations
  Mirror Symmetry and Localizations
      Shing-Tung Yau
  Commentary on
      Non-Kaihler Calabi-Yau Manifolds
  Non-Kahler Calabi-Yau Manifolds
      Li-Sheng Tseng, Shing-Tung Yau
Commentary by Others
  The Strominger-Yau-Zaslow Conjecture and Its Impact
      Kwokwai Chan
  Commentary on
      Shing-Tung Yau's Surveys
      Simon Donaldson
  Commentary on
      Yau's Work on Non-Kahler Complex Geometry
      Jixiang Fu
  Martin Compactification of Nonpositively Curved Manifolds
      Lizhen Ji
  Commentary on
      Shing-Tung Yau's Expository Works: Topological String Theory
      Chiu-Chu Melissa Liu
  Commentary on
      Yau's Work on Minimal Surfaces and 3-manifolds
      Feng Luo
  Commentary on
      Some Works of Shing-Tung Yau in Kahler Geometry
      Ngaiming Mok
  Commentary on
      The Legacy of Shing-Tung Yau in Geometric Partial
      Differential Equations
      Duong H. Phong
  Commentary on
      Several Problems Proposed by Shing-Tung Yau
      Bun Wong
Appendices
  List of Publications by Shing-Tung Yau
  Students of Shing-Tung Yau