Geometry and Spectra of Compact Riemann Surfaces by Peter Buser

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.

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 hereThe 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 Răileanu, 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)

SKU	Unavailable
ISBN 13	9780817649913
ISBN 10	0817649913
Title	Geometry and Spectra of Compact Riemann Surfaces
Author	Peter Buser
Series	Modern Birkhauser Classics
Condition	Unavailable
Binding Type	Paperback
Publisher	Birkhauser Boston Inc
Year published	2010-11-04
Number of pages	456
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.