Topological, Differential and Conformal Geometry of Surfaces

By Norbert A'Campo

-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.

• Format: Paperback
• Language: English
• ISBN: 3030890317
• ISBN13: 9783030890315
• Release Date: October 2021
• Publisher: Springer
• Length: 284 Pages
• Weight: 0.92 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"