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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Geometry and Spectra of Compact Riemann Surfaces
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Geometry and Spectra of Compact Riemann Surfaces
Peter Buser (Taschenbuch, Englisch)
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Beschreibung
This book deals with two subjects. The first subject is the geometric theory of compact Riemann surfaces of genus greater than one, the second subject is the Laplace operator and its relationship with the geometry of compact Riemann surfaces. The book grew out of the idea, a long time ago, to publish a Habili- tionsschrift, a thesis, in which I studied Bers' pants decomposition theorem and its… applications to the spectrum of a compact Riemann surface. A basic tool in the thesis was cutting and pasting in connection with the trigono metry of hyperbolic geodesic polygons. As this approach to the geometry of a compact Riemann surface did not exist in book form, I took this book as an occasion to carry out the geometry in detail, and so it grew by several chapters. Also, while I was writing things up there was much progress in the field, and some of the new results were too challenging to be left out of the book. For instance, Sunada's construction of isospectral manifolds was fascinating, and I got hooked on constructing examples for quite a while. So time went on and the book kept growing. Fortunately, the interest in exis tence proofs also kept growing. The editor, for instance, was interested, and so was my family. And so the book finally assumed its present form. Many of the proofs given here are new, and there are also results which appear for the first time in print. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
04.11.2010
Sprache
Englisch
EAN
9780817649913
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Modern Birkhäuser Classics
Sonderedition
Nein
Autor
Peter Buser
Seitenanzahl
456
Einbandart
Taschenbuch
Einbandart Details
Trade Paperback (US)
Schlagwörter
Laplace operator, Riemann surfaces, Sunada’s construction, Wolpert’s theorem, complex Riemann surface theory, differential geometry, equation, geometry, proof, theorem
Thema-Inhalt
PBM - Geometrie
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
PBMW - Algebraische Geometrie
PBF - Algebra
Höhe
234 mm
Breite
15.6 cm
Hersteller: Birkhauser Boston, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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