19世紀(jì)以來(lái)，復(fù)幾何的研究工作浩如煙海，使得這個(gè)領(lǐng)域得到了迅速發(fā)展。本書(shū)精選現(xiàn)代數(shù)學(xué)大師們?nèi)舾傻旎晕恼乱约坝嘘P(guān)復(fù)幾何領(lǐng)域發(fā)展歷史的綜述性文章，書(shū)中還收錄了丘成桐教授關(guān)于數(shù)學(xué)和數(shù)學(xué)家的評(píng)論，并給出了幾何分析的經(jīng)典文章的列表。本書(shū)對(duì)初學(xué)者和數(shù)學(xué)家來(lái)說(shuō)，都是寶貴的參考資料。
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
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