- 作 者：丘成桐著
- 出 版 社：北京：高等教育出版社
- 出版年份：2014
- ISBN：7040404234
- 标注页数：704 页
- PDF页数：738 页
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Volume Ⅰ 1
Commentary on 1
Métriques de K？hler-Einstein Sur les Variétés Ouvertes 1
Métriques de K？hler-Einstein Sur les Variétés Ouvertes&Shing-Tung Yau 3
Commentary on 7
The Classical Plateau Problem and the Topology of 3-manifolds 7
The Classical Plateau Problem and the Topology of 3-manifolds&William H.Meeks Ⅲ,Shing-Tung Yau 9
Commentary on 11
Geometric Bounds on the Low Eigenvalues of a Compact Surface 11
Geometric Bounds on the Low Eigenvalues of a Compact Surface&R.Schoen,S.Wolpert,and S.T Yau 13
Commentary on 21
Estimates of Eigenvalues of a Compact Riemannian Manifold 21
Estimates of Eigenvalues of a Compact Riemannian Manifold&Peter Li and Shing-Tung Yau 23
Commentary on 51
The Total Mass and the Topology of an Asymptotically Flat Space-time 51
The Total Mass and the Topology of an Asymptotically Flat Space-time&Shing-Tung Yau 55
Commentary on 61
The Role of Partial Differential Equations in Differential Geometry 61
The Role of Partial Differential Equations in Differential Geometry&Shing-Tung Yau 69
Commentary on 83
The Real Monge-Ampère Equation and Affine Flat Structures 83
The Real Monge-Ampère Equation and Affine Flat Structures&Shiu-Yuen Cheng and Shing-Tung Yau 85
Commentary on 103
Survey on Partial Differential Equations in Differential Geometry 103
Survey on Partial Differential Equations in Differential Geometry&Shing-Tung Yau 111
Commentary on 159
Problem Section 159
Problem Section(With Commentary)&Shing-Tung Yau 161
Commentary on 225
A Survey on K？hler-Einstein Metrics 225
A Survey on K？hler-Einstein Metrics&Shing-Tung Yau 229
Commentary on 235
Compact Three Dimensional K？hler Manifolds with Zero Ricci Curvature 235
Compact Three Dimensional K？hler Manifolds with Zero Ricci Curvature&Shing-Tung Yau 237
Commentary on 247
Inequality Between Chern Numbers of Singular K？hler Surfaces and Characterization of Orbit Space of Discrete Group of SU(2,1) 247
Inequality Between Chern Numbers of Singular K？hler Surfaces and Characterization of Orbit Space of Discrete Group of SU(2,1)&Shiu-Yuen Cheng and Shing-Tung Yau 249
Commentary on 257
On Ricci Flat 3-fold 257
On Ricci Flat 3-fold&Shi-Shyr Roan and Shing-Tung Yau 259
Commentary on 295
Some Recent Developments in General Relativity 295
Some Recent Developments in General Relativity&Shing-Tung Yau 297
Commentary on 303
Nonlinear Analysis in Geometry 303
Nonlinear Analysis in Geometry&Shing-Tung Yau 311
Commentary on 353
Three-Dimensional Algebraic Manifolds with C1＝0 and x＝-6 353
Three-Dimensional Algebraic Manifolds with C1＝0 and x＝-6&Gang Tian and Shing-Tung Yau 355
Commentary on 365
Uniformization of Geometric Structures 365
Uniformization of Geometric Structures&Shing-Tung Yau 369
Commentary on 379
Some Remarks on the Quasi-local Mass 379
Some Remarks on the Quasi-local Mass&D.Christodoulou and S.-T.Yau 381
Commentary on 385
A Review of Complex Differential Geometry 385
A Review of Complex Differential Geometry&Shing-Tung Yau 387
Commentary on 395
Open Problems in Geometry 395
Open Problems in Geometry&Shing-Tung Yau 397
Commentary on 455
On the Geometry of Certain Superconformal Field Theory Paradigms(Towards a Quantum Algebraic Geometry) 455
On the Geometry of Certain Superconformal Field Theory Paradigms(Towards a Quantum Algebraic Geometry)&Tristan Hübsch and Shing-Tung Yau 457
Commentary on 485
Upper Bound for the First Eigenvalue of Algebraic Submanifolds 485
Upper Bound for the First Eigenvalue of Algebraic Submanifolds&Jean-Pierre Bourguignon,Peter Li,and Shing-Tung Yau 487
Commentary on 495
Review on K？hler-Einstein Metrics in Algebraic Geometry 495
Review on K？hler-Einstein Metrics in Algebraic Geometry&Shing-Tung Yau 497
Commentary on 509
A Note on The Distribution of Critical Points of Eigenfunctions 509
A Note on The Distribution of Critical Points of Eigenfunctions&Shing-Tung Yau 511
Commentary on 515
Sobolev Inequality for Measure Space 515
Sobolev Inequality for Measure Space&Shing-Tung Yau 517
Commentary on 531
Einstein Manifolds with Zero Ricci Curvature 531
Einstein Manifolds with Zero Ricci Curvature&Shing-Tung Yau 533
Commentary on 549
Review of Geometry and Analysis 549
Review of Geometry and Analysis&Shing-Tung Yau 551
Commentary on 603
Geometry and Spacetime 603
Geometry and Spacetime&Shing-Tung Yau 605
Commentary on 613
Geometry Motivated by Physics 613
Geometry Motivated by Physics&Shing-Tung Yau 615
Commentary on 625
Complex Geometry:Its Brief History and Its Future 625
Complex Geometry:Its Brief History and Its Future&Shing-Tung Yau 627
Commentary on 641
Geometric Aspects of the Moduli Space of Riemann Surfaces 641
Geometric Aspects of the Moduli Space of Riemann Surfaces&Kefeng Liu,Xiaofeng Sun,and Shing-Tung Yau 643
Commentary on 671
Solution of Filtering Problem with Nonlinear Observations 671
Solution of Filtering Problem with Nonlinear Observations&Stephen S.-T.Yau and Shing-Tung Yau 673
Commentary on 699
The Proof of the Poincaré Conjecture 699
The Proof of the Poincaré Conjecture&Shing-Tung Yau 701