Topological, Differential and Conformal Geometry of Surfaces
Overview
-1. Basic Differential Geometry.- 2. The Geometry of Manifolds.- 3. Hyperbolic Geometry.- 4. Some Examples and Sources of Geometry.- 5. Differential Topology of Surfaces.- 6. Riemann Surfaces.- 7. Surfaces of Genus g = 0.- 8. Surfaces with Riemannian Metric.- 9. Outline: Uniformization by Spectral Determinant.- 10. Uniformization by Energy.- 11. Families of Spaces.- 12. Functions on Riemann Surfaces.- 13. Line Bundles and Cohomology.- 14. Moduli Spaces and Teichm ller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The Teichm ller Curve and its Universal Property.- 17. Riemann Surfaces and Algebraic Curves.- 18. The Jacobian of a Riemann Surface.- 19. Special Metrics on J-Surfaces.- 20. The Fundamental Group and Coverings.- A. Reminder: Topology.- References.- Index.
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Details
- ISBN-13: 9783030890315
- ISBN-10: 3030890317
- Publisher: Springer
- Publish Date: October 2021
- Dimensions: 9.21 x 6.14 x 0.62 inches
- Shipping Weight: 0.92 pounds
- Page Count: 284
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