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