| 中文摘要 | 第4-5页 |
| Abstract | 第5页 |
| Chapter 1 Introduction | 第7-15页 |
| 1.1 Chern forms of holomorphic Finsler bundles and some applications | 第9-12页 |
| 1.2 A Donaldson type functional on a holomorphic Finsler vector bundle | 第12-13页 |
| 1.3 Compact K?hler manifolds with positive orthogonal bisectional curvature | 第13-15页 |
| Chapter 2 Chern forms of holomorphic Finsler vector bundles andsome applications | 第15-37页 |
| 2.1 Notations and some basic facts | 第15-20页 |
| 2.2 Segre forms and Chern forms from Finsler metrics | 第20-27页 |
| 2.3 The semi-stability of a Finsler-Einstein vector bundle | 第27-33页 |
| 2.4 Finsler flat vector bundles | 第33-37页 |
| Chapter 3 A Donaldson type functional on a holomorphic Finsler vec-tor bundle | 第37-57页 |
| 3.1 A brief review of complex Finsler vector bundles | 第37-41页 |
| 3.2 An Energy functional ε(G) on the path spaces ?(G_0,G_1) | 第41-45页 |
| 3.3 A Donaldson type functional on F~+(E) | 第45-57页 |
| Chapter 4 Compact K?hler manifolds with positive orthogonal bisec-tional curvature | 第57-67页 |
| 4.1 Complex analyticity of energy minimizing maps | 第57-61页 |
| 4.2 The proof of Theorem 7 | 第61-67页 |
| References | 第67-71页 |
| 致谢 | 第71-73页 |
| 个人简历 | 第73页 |
