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 ope...
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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2010. |
| Серии: | Modern Birkhäuser Classics
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| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometry and spectra of compact Riemann surfaces, Peter Buser, Reprint of the 1992 edition, [Basel], Birkhäuser, Springer, 2010, 1 vol. (XVI-454 p.), Modern Birkhäuser Classics, 978-0-8176-4991-3 • Geometry and spectra of compact Riemann surfaces, Peter Buser, Boston, Birkhäuser, 1992, 1 vol. (XIV-454 p.), Progress in mathematics, 3-7643-3406-1 • Geometry and Spectra of Compact Riemann Surfaces, Texte imprimé, 9780817649937 |
Оглавление:
- 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