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[×ÊÔ´] Complex Manifolds Without Potential Theory,Shiing-shen Chern

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http://muchong.com/bbs/viewthread.php?tid=7496382&fpage=1&target=blank

Contents
1. Introduction and Examples
2. Complex and Hermitian Structures on a Vector Space
3. Almost Complex Manifolds; Integrability Conditions
4. Sheaves and Cohomology
5. Complex Vector Bundles; Connections
6. Holomorphic Vector Bundles and Line Bundles
7. Herm! tian Geometry and K!1hlerian Geometry
8. The Grassmann Manifold
9. Curves in a Grassmann Manifold
Bibliography
Appendix: Geometry of Characteristic Classes
1. Historical Remarks and Examples
2. Weil Homomorphism
3. Secondary Invariants
5. Vector Fields and Characteristic Numbers
6. HololIDrphic Curves
References
Index
1
6
12
23
31
46
55
68
83
95
97
97
113
119
131
140
148
151
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