Complex Geometry from Riemann to Kähler-Einstein and Calabi-Yau(从黎曼到凯勒-爱因斯坦和卡拉比-丘的复几何)

样章

作者：

季理真

定价：

168.00 元

版面字数：

990.00千字

开本：

16开

装帧形式：

精装

页数：

664

最新
印次时间：

2018年01月

ISBN：

978-7-04-048956-9

物料号：

48956-00

出版时间：

2018-01-23

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

几何学

暂无

目录
- 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