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Topological, differential and conformal geometry of surfaces

By: Material type: TextTextSeries: UniversitextPublication details: Switzerland : Springer, ©2021Description: x, 284 p. : col. ill. ; 24 cmISBN:
  • 9783030890315
Subject(s): DDC classification:
  • 516.3 ACA-T
Contents:
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
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD General Stacks Mathematics 516.3 ACA-T (Browse shelf(Opens below)) Available 013307
Total holds: 0

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

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