| 摘要 | 第1-21页 |
| Holomorphic 2-spheres in Grassmann Manifolds | 第21-53页 |
| 0 Introduction | 第21-22页 |
| 1 Holomorphic curves in G(k,n) | 第22-23页 |
| 2 Holomorphic 2-spheres in G(k,n) | 第23-28页 |
| 3 The generalized Frenet formula | 第28-31页 |
| 4 The generalized Plu|¨cker formula | 第31-37页 |
| 5 Einsteinian holomorphic subbundle of C~n | 第37-40页 |
| 6 Pinching theorem for Gaussian curvature | 第40-42页 |
| 7 Constant curved holomorphic S~2 in G(k,n) | 第42-45页 |
| 8 Constant curved holomorphic S~2 in G(2,4) | 第45-52页 |
| References | 第52-53页 |
| Constant Curved Minimal 2-spheres in G(2,4) | 第53-64页 |
| 1 Preliminary | 第53-55页 |
| 2 Fundamental Formulas and Lemmas | 第55-58页 |
| 3 Proof of Theorem B | 第58-63页 |
| References | 第63-64页 |
| Counterexamples to the Conjecture on Minimal 2-spheres in CP~n with Constant Kaehler Angle | 第64-79页 |
| 1 introduction | 第64-65页 |
| 2 Algebraic Lemma | 第65-68页 |
| 3 Minimal Immersed S~2 in CP~2 | 第68-71页 |
| 4 Minimal immersion with constant Kaehler angle | 第71-72页 |
| 5 Proof of Theorem A and B | 第72-78页 |
| References | 第78-79页 |
| Two Differential Operators Acting on Abelian Forms Valued in Vector Bundle and Their Applications | 第79-90页 |
| 1 Introduction | 第79-80页 |
| 2 Riemannian Vector Bundle over Surfaces | 第80-83页 |
| 3 Curvature and Ka|¨hler Angle | 第83-85页 |
| 4 Superminimal Surfaces in CP~n | 第85-88页 |
| 5 Totally Real Minimal Surfaces in CP~n | 第88-89页 |
| References | 第89-90页 |
| 附表 | 第90页 |
