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- W626428211 abstract "Introduction Part I. Basics on Differential Geometry: 1. Smooth manifolds 2. Tensor fields on smooth manifolds 3. The exterior derivative 4. Principal and vector bundles 5. Connections 6. Riemannian manifolds Part II. Complex and Hermitian Geometry: 7. Complex structures and holomorphic maps 8. Holomorphic forms and vector fields 9. Complex and holomorphic vector bundles 10. Hermitian bundles 11. Hermitian and Kahler metrics 12. The curvature tensor of Kahler manifolds 13. Examples of Kahler metrics 14. Natural operators on Riemannian and Kahler manifolds 15. Hodge and Dolbeault theory Part III. Topics on Compact Kahler Manifolds: 16. Chern classes 17. The Ricci form of Kahler manifolds 18. The Calabi-Yau theorem 19. Kahler-Einstein metrics 20. Weitzenbock techniques 21. The Hirzebruch-Riemann-Roch formula 22. Further vanishing results 23. Ricci-flat Kahler metrics 24. Explicit examples of Calabi-Yau manifolds Bibliography Index." @default.
- W626428211 created "2016-06-24" @default.
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- W626428211 date "2006-01-17" @default.
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- W626428211 title "Lectures on Kähler Geometry" @default.
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