Author | Chern, Shiing-shen. author |
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Title | Complex Manifolds without Potential Theory [electronic resource] : with an appendix on the geometry of characteristic classes / by Shiing-shen Chern |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1979 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4684-9344-3 |
Descript | V, 154 p. online resource |
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. Hermitian Geometry and Kรคhlerian Geometry -- 8. The Grassmann Manifold -- 9. Curves in a Grassmann Manifold -- Appendix: Geometry of Characteristic Classes -- 1. Historical Remarks and Examples -- 2. Weil Homomorphism -- 3. Secondary Invariants -- 5. Vector Fields and Characteristic Numbers -- 6. Holomorphic Curves -- References