Geometry and Spectra of Compact Riemann Surfaces
This classic monograph is a self-contained introduction to the geometry of Riemann surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace op...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Modern Birkhäuser Classics
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Hyperbolic Structures
- Trigonometry
- Y-Pieces and Twist Parameters
- The Collar Theorem
- Bers’ Constant and the Hairy Torus
- The Teichmüller Space
- The Spectrum of the Laplacian
- Small Eigenvalues
- Closed Geodesics and Huber’s Theorem
- Wolpert’s Theorem
- Sunada’s Theorem
- Examples of Isospectral Riemann Surfaces
- The Size of Isospectral Families
- Perturbations of the Laplacian in Teichmüller Space