| Table of Contents | 第1-6页 |
| 0 Introduction | 第6-8页 |
| 1 Isotropy groups and orbit spaces | 第8-23页 |
| ·Isometric G-action and isotropy groups | 第8-15页 |
| ·Isometric G-action and orbit space | 第15-19页 |
| ·Gray-O'Neill Riemannian submersion formula and its application | 第19-23页 |
| 2 Positive curvature and symmetry rank. | 第23-39页 |
| ·Geometry of fixed point sets | 第23-27页 |
| ·Positive curvature and fixed point sets | 第27-32页 |
| ·Positive curvature and fundamental groups | 第32-36页 |
| ·Positive curvature and isometric T~k-actions | 第36-39页 |
| 3 Proof of Rong's Theorem | 第39-48页 |
| ·Proof of the theorem when φ is orientation preserving | 第39-41页 |
| ·Proof of the theorem when φ is orientation reversing | 第41-47页 |
| ·Proof of the theorem when M is non-orientable | 第47-48页 |
| Bibliography | 第48-49页 |
