Topological, Differential and Conformal Geometry of Surfaces Norbert A'Campo.
By: A'Campo, Norbert [author.].
Material type: TextPublisher: Switzerland; Springer Nature. c2021Description: x, 284 pages. E 54.99 ill (col.); 23 cms.ISBN: 9783030890315 (pbk.).Subject(s): Differential geometry | Algebraic topology | Algebraic geometryItem type | Current location | Call number | Status | Date due | Barcode | Item holds |
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Book | Chennai Mathematical Institute General Stacks | 516.36 ACA (Browse shelf) | Available | 11160 |
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.