前辅文
Part I Summary
A Historical Glimpse of Some Topics in Complex Geometry
Lizhen Ji
Part II Comments on Yau and His Work
Calabi-Yau Manifolds at the Interface of Mathematics and Physics
Shiu-Yuen Cheng, Lizhen Ji, Liping Wang, and Hao Xu Shing-Tung Yau, His Mathematics and Writings
Lizhen Ji
Part III Selected Papers in Complex Geometry
Foundations for a General Theory of Functions of a Complex Variable
Bernhard Riemann The Hypotheses on Which Geometry Is Based
Bernhard Riemann A Mathematical Work That Seeks to Answer the Question Posed by the Most Distinguished Academy of Paris
Bernhard Riemann About a Remarkable Hermitian Metric
Erich K¨ahler Characteristic Classes of Hermitian Manifolds
Shiing-Shen Chern On Compact Complex Analytic Varieties
Wei-Liang Chow The Space of K¨ahler Metrics
Eugenio Calabi On K¨ahler Manifolds with Vanishing Canonical Class
Eugenio Calabi On a Differential-Geometric Method in the Theory of Analytic Stacks
Kunihiko Kodaira On K¨ahler Varieties of Restricted Type
Kunihiko Kodaira On the Complex Projective Spaces
Friedrich Hirzebruch and Kunihiko Kodaira A Lefschetz Fixed Point Formula for Elliptic Differential Operators
Michael Atiyah and Raoul Bott Calabi’s Conjecture and Some New Results in Algebraic Geometry
Shing-Tung Yau On the Ricci Curvature of a Compact K¨ahler Manifold and the Complex Monge-Amp`ere Equation, I
Shing-Tung Yau Compact K¨ahler Manifolds of Positive Bisectional Curvature
Yum-Tong Siu and Shing-Tung Yau The Complex-Analyticity of Harmonic Maps and the Strong Rigidity of Compact K¨ahler Manifolds
Yum-Tong Siu A New Proof of a Theorem of Narasimhan and Seshadri
Simon Donaldson Anti Self-Dual Yang-Mills Connections over Complex Algebraic Surfaces and Stable Vector Bundles
Simon Donaldson On the Existence of Hermitian Yang-Mills Connections in Stable Vector Bundles
Karen Uhlenbeck and Shing-Tung Yau A Brief History of K¨ahler Geometry
Shing-Tung Yau
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
Lizhen Ji and Shing-Tung Yau