Topological, Differential and Conformal Geometry of Surfaces
portes grátis
Topological, Differential and Conformal Geometry of Surfaces
A'Campo, Norbert
Springer Nature Switzerland AG
10/2021
284
Mole
Inglês
9783030890315
15 a 20 dias
456
Descrição não disponível.
-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 Teichmueller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The Teichmueller 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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manifold;Riemann surface;hyperbolic Geometry;uniformisation;Teichmuller Space
-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 Teichmueller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The Teichmueller 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
