同济博士论丛 关于单值化和Ricci流的一些结果PDF电子书下载

Chapter 1 Introduction 1

Chapter 2 Uniformization of Complete Kahler Manifold 8

2.1 Introduction 8

2.2 Some Lemmas and Proof of Theorem 2.2 11

2.3 L2Holomorphic Plurianticanonical Sections and its Gradient 15

2.4 Bézout Estimate and Guass-Bonnet Integral 22

2.5 Proof of Theorem 2.4 28

Chapter 3 Gap Theorem on Riemannian Manifold 35

3.1 Introduction 35

3.2 Yamabe Flow and Estimate for its Solution 37

3.3 Proof of Theorem 3.1 47

Chapter 4 Immortal Solution of Ricci Flow 50

4.1 Introduction 50

4.2 Necessary Condition for Immortal Solution 52

4.3 Sufficient Condition of Immortal Solution 58

Chapter 5 General Sobolev Inequality on Manifold 63

5.1 Introduction 63

5.2 Proof of Theorem 5.1 66

5.3 Proof of Theorem 5.2 and 5.3 69

参考文献 72

后记 78