Name: Geometry and Spectra of Compact Riemann Surfaces By Peter Buser
SKU: 9780817649913
Price: 139.79 EUR
Availability: InStock

Geometry and Spectra of Compact Riemann Surfaces Summary

Geometry and Spectra of Compact Riemann Surfaces by Peter Buser

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. 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.

Geometry and Spectra of Compact Riemann Surfaces Reviews

From the reviews:

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

Originally published as Volume 106 in the series Progress in Mathematics, this version is a reprint of the classic monograph, 1992 edition, consisting of two parts. ... An appendix is devoted to curves and isotopies. The book is a very useful reference for researches and also for graduate students interested in the geometry of compact Riemann surfaces of constant curvature -- 1 and their length and eigenvalue spectra. (Liliana Raileanu, Zentralblatt MATH, Vol. 1239, 2012)

Geometry and Spectra of Compact Riemann Surfaces is a pleasure to read. There is a lot of motivation given, examples proliferate, propositions and theorems come equipped with clear proofs, and excellent drawings ... . a fine piece of scholarship and a pedagogical treat. (Michael Berg, The Mathematical Association of America, May, 2011)

Hyperbolic Structures.- Trigonometry.- Y-Pieces and Twist Parameters.- The Collar Theorem.- Bers' Constant and the Hairy Torus.- The Teichmuller 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 Teichmuller Space.

Additional information

Sku

NLS9780817649913

ISBN 13

9780817649913

ISBN 10

0817649913

Title

Geometry and Spectra of Compact Riemann Surfaces by Peter Buser

Author

Peter Buser

Series

Modern Birkhauser Classics

Condition

New

Binding type

Paperback

Publisher

Birkhauser Boston Inc

Year published

2010-11-04

Number of pages

456

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Geometry and Spectra of Compact Riemann Surfaces Peter Buser

Geometry and Spectra of Compact Riemann Surfaces by Peter Buser

Summary

Geometry and Spectra of Compact Riemann Surfaces Summary

Geometry and Spectra of Compact Riemann Surfaces by Peter Buser

Geometry and Spectra of Compact Riemann Surfaces Reviews

Table of Contents

Additional information

Customer Reviews - Geometry and Spectra of Compact Riemann Surfaces