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...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2010. |
| Saila: | Modern Birkhäuser Classics
|
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
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 |
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| 041 | 0 | |a eng | |
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| 100 | 1 | |a Buser, Peter, |d 1946-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Geometry and Spectra of Compact Riemann Surfaces |c by Peter Buser. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Modern Birkhäuser Classics |x 2197-1811 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 operator with the geometry of such surfaces. The first part of the book is written in textbook form at the graduate level, with only minimal requisites in either differential geometry or complex Riemann surface theory. The second part of the book is a self-contained introduction to the spectrum of the Laplacian based on the heat equation. Later chapters deal with recent developments on isospectrality, Sunada s construction, a simplified proof of Wolpert s theorem, and an estimate of the number of pairwise isospectral non-isometric examples which depends only on genus. Researchers and graduate students interested in compact Riemann surfaces will find this book a useful reference. Anyone familiar with the author's hands-on approach to Riemann surfaces will be gratified by both the breadth and the depth of the topics considered here. The exposition is also extremely clear and thorough. Anyone not familiar with the author's approach is in for a real treat. Mathematical Reviews This is a thick and leisurely book which will repay repeated study with many pleasant hours both for the beginner and the expert. It is fortunately more or less self-contained, which makes it easy to read, and it leads one from essential mathematics to the state of the art in the theory of the Laplace Beltrami operator on compact Riemann surfaces. Although it is not encyclopedic, it is so rich in information and ideas the reader will be grateful for what has been included in this very satisfying book. Bulletin of the AMS The book is very well written and quite accessible; there is an excellent bibliography at the end. Zentralblatt MATH | ||
| 776 | 0 | |0 149273932 |t Geometry and spectra of compact Riemann surfaces |f Peter Buser |e Reprint of the 1992 edition |c [Basel] |n Birkhäuser |n Springer |d 2010 |p 1 vol. (XVI-454 p.) |s Modern Birkhäuser Classics |z 978-0-8176-4991-3 | |
| 776 | 0 | |0 014426803 |t Geometry and spectra of compact Riemann surfaces |f Peter Buser |c Boston |n Birkhäuser |d 1992 |p 1 vol. (XIV-454 p.) |s Progress in mathematics |z 3-7643-3406-1 | |
| 776 | 0 | |t Geometry and Spectra of Compact Riemann Surfaces |b Texte imprimé |z 9780817649937 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-4992-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-7HM79HD3-3 |z Accès sur la plateforme Istex | |
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