Geometry and Spectra of Compact Riemann Surfaces
Author:   Peter Buser
Publisher:   Birkhauser Boston Inc
Edition:   Softcover reprint of hardcover edition 2010
ISBN:  

9780817649913


Pages:   456
Publication Date:   04 November 2010
Replaced By:   9780817649913
Format:   Paperback
Availability:   In Print   Availability explained
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Geometry and Spectra of Compact Riemann Surfaces


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Overview

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.

Full Product Details

Author:   Peter Buser
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   Softcover reprint of hardcover edition 2010
Dimensions:   Width: 15.60cm , Height: 2.40cm , Length: 23.40cm
Weight:   1.460kg
ISBN:  

9780817649913


ISBN 10:   0817649913
Pages:   456
Publication Date:   04 November 2010
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Replaced By:   9780817649913
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

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)


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


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


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