Geometry and Spectra of Compact Riemann Surfaces / (Record no. 20016)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02838pam a2200229 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001633 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224544.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081108s1992 maua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0817634061 (acidfree) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040059 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201008020857 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811091314 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811080936 |
| Level of effort used to assign classification | Noora |
| -- | 200811080935 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA333 |
| Item number | .B87 1992 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Buser, Peter, |
| Dates associated with a name | 1946- |
| 9 (RLIN) | 43647 |
| 245 10 - TITLE STATEMENT | |
| Title | Geometry and Spectra of Compact Riemann Surfaces / |
| Statement of responsibility, etc. | Peter Buser. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boston : |
| Name of publisher, distributor, etc. | Birkhauser, |
| Date of publication, distribution, etc. | 1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 454 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 433-447) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface.-Chapter 1: Hyperbolic Structures.-Chapter 2: Trigonometry.- Chapter 3: Y-Pieces and Twist Parameters.- Chapter 4:The Collar Theorem.- Chapter 5: Bers' Constant and the Hairy Torus.- Chapter 6: The Teichmuller Space.- Chapter 7: The Spectrum of the Laplacian.- Chapter 8: Small Eigenvalues.- Chapter 9: Closed Geodesics and Huber's Theorem.- Chapter 10: Wolpert's Theorem.- Chapter 11: Sunada's Theorem.- Chapter 12: Examples of Isospectral Riemann surfaces.- Chapter 13: The Size of Isospectral Families.- Chapter 14: Perturbations of the Laplacian in Hilbert Space.-Appendix: Curves and Isotopies.-Bibliography.-Index.-Glossary. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This 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 few requisites other than background in either differential geometry or complex Riemann surface theory. It begins with an account of the Fenchel-Nielsen approach to Teichmuller Space. Hyperbolic trigonometry and Bers' partition theorem (with a new proof which yields explicit bounds) are shown to be simple but powerful tools in this context. The second part of the book is a self-contained introduction to the spectrum of the Laplacian based on head equations. The approach chosen yields a simple proof that compact Riemann surfaces have the same eigenvalues if and only if they have the same length spectrum. Later chapters deal with recent developments on isospectrality, Sunada's construction, a simplified proof of Wolpert's theorem, and an estimate fo the number of pairwise isospectral non-isometric examples which depends only on genus. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Riemann surfaces. |
| 9 (RLIN) | 18021 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA333 .B87 1992 | 9648 | 21/12/2024 | 1 | 21/12/2024 | Books |