Complex Manifolds without Potential Theory: (With an Appendix on the Geometry of Characteristic Classes) - Brossura

Chern, Shiing-shen

 
9780387904221: Complex Manifolds without Potential Theory: (With an Appendix on the Geometry of Characteristic Classes)

Sinossi

From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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 Kählerian 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.

Product Description

Book by Chern Shiingshen

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9783540904229: Complex Manifolds without Potential Theory: With an Appendix on the Geometry of Characteristic Classes

Edizione in evidenza

ISBN 10:  3540904220 ISBN 13:  9783540904229
Casa editrice: Springer-Verlag Berlin and Heide..., 1979
Brossura