Geometry and Spectra of Compact Riemann Surfaces (Progress in Mathematics) Peter Buser - kelloggchurch.org

Oct 29, 2010 · 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. 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. Peter Buser D6partement de Math6matiques Ecole Polytechnique F6d6rale de Lausanne CH-1015 Lausanne-Ecublens Switzerland Library of Congress Cataloging-in-Publication Data Buser, Peter, 1946Geometry and spectra of compact Riemann surfaces / Peter Buser. cm. — Progress in mathematics; v. 106 p.

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. Boston: Birkhauser, 2010 Reprint of the 1992 Edition. 473 p. Progress in Mathematics 106. ISBN 978-0-8176-4991-3. 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. Geometry and Spectra of Compact Riemann Surfaces by Peter Buser English PDF 2010 473 Pages ISBN: 0817649913 57.05 MB This classic monograph is a self-contained introduction to the geometry of Riemann surfaces of constant curvature –1 and their length and eigenvalue spectra.

Author: Peter Buser Publisher: Birkhauser Category: Mathematics Language: English Page: 456 ISBN: 0817649913 ISBN13: 9780817649913 Description: 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. the geometry and the spectrum of compact Riemannian manifolds, where \spectrum" means the eigenvalue spectrum of the Laplace operator as it acts on smooth functions on a manifold M. We examine this relationship in the non-smooth setting, that is, for manifolds which have singularities. We generalize several relevant geometric tools. The paper presents a survey on recent results on the geometry of Riemann surfaces showing that the study of closed geodesics provides a link between different aspects of Riemann surface theory such as hyperbolic geometry, topology, spectral theory, and the theory of arithmetic Fuchsian groups. In Buser-Courtois [1], for instance, this was used to show that the spectrum of a compact Riemann surface is determined by a finite part. That article also contains an outline proof of the.

May 13, 2011 · Only a number theorist like me would cast Peter Buser’s Geometry and Spectra of Compact Riemann Surfaces in a supporting role vis à vis number theoretic themes. In point of fact the book is, by the author’s own description, devoted to “two subjects [:]the geometric theory of compact Riemann surfaces of genus greater than one [i.e. ≥ 2].

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