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Topological, Differential and Conformal Geometry of Surfaces

Topological, Differential and Conformal Geometry of Surfaces

Paperback

Series: Universitext

General MathematicsGeometry

ISBN10: 3030890317
ISBN13: 9783030890315
Publisher: Springer Nature
Published: Oct 28 2021
Pages: 284
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
-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 Teichmüller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The Teichmüller 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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