19世纪以来，复几何的研究工作浩如烟海，使得这个领域得到了迅速发展。本书精选现代数学大师们若干奠基性文章以及有关复几何领域发展历史的综述性文章，书中还收录了丘成桐教授关于数学和数学家的评论，并给出了几何分析的经典文章的列表。本书对初学者和数学家来说，都是宝贵的参考资料。
Part Ⅰ
Summary
A Historical Glimpse of Some Topics in Complex Geometry
Part Ⅱ
Comments on Yau and His Work
Calabi—Yau Manifolds at the Interface of Mathematics and Physics
Shing—Tung Yau， His Mathematics and Writings
Part Ⅲ
Selected Papers in Complex Geometry
Foundations for a General Theory of Functions of a Complex Variable
The Hypotheses on Which Geometry Is Based
A Mathematical Work That Seeks to Answer the Question Posed by the Most Distinguished Academy of Paris
About a Remarkable Hermitian Metric
Characteristic Classes of Hermitian Manifolds
On Compact Complex Analytic Varieties
The Space of Kahler Metrics
On Kahler Manifolds with Vanishing Canonical Class
On a Differential—Geometric Method in the Theory of Analytic Stacks
On Kahler Varieties of Restricted Type
On the Complex Projective Spaces
A Lefschetz Fixed Point Formula for Elliptic Differential Operators
Calabi's Conjecture and Some New Results in Algebraic Geometry
On the Ricci Curvature of a Compact Kahler Manifold and the Complex Monge—Ampere Equation， I
Compact Kahler Manifolds of Positive Bisectional Curvature
The Complex—Analyticity of Harmonic Maps and the Strong Rigidity of Compact Kahler Manifolds
A New Proof of a Theorem of Narasimhan and Seshadri
Anti Self—Dual Yang—Mills Connections over Complex Algebraic Surfaces and Stable Vector Bundles
On the Existence of Hermitian Yang—Mills Connections in Stable Vector Bundles
A Brief History of Kahler Geometry
Part Ⅳ
Selected Commentaries by Shing—Tung Yau
Part Ⅴ
A List of Classic Papers
Some Classic Papers in Geometric Analysis in the 20th Century
书单推荐
