Topological, differential and conformal geometry of surfaces
A'Campo, Norbert
Topological, differential and conformal geometry of surfaces by Norbert A'Campo - Switzerland : Springer, ©2021 - x, 284 p. : col. ill. ; 24 cm. - Universitext .
Includes bibliographical references and index
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 Teichmuller Spaces 15. Dimensions of Spaces of Holomorphic Sections 16. The Teichmuller 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
9783030890315
Mathematics
Differential geometry
Geometric surfaces
Algebraic topology
516.3 / ACA-T
Topological, differential and conformal geometry of surfaces by Norbert A'Campo - Switzerland : Springer, ©2021 - x, 284 p. : col. ill. ; 24 cm. - Universitext .
Includes bibliographical references and index
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 Teichmuller Spaces 15. Dimensions of Spaces of Holomorphic Sections 16. The Teichmuller 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
9783030890315
Mathematics
Differential geometry
Geometric surfaces
Algebraic topology
516.3 / ACA-T