Geometry and Spectra of Compact Riemann Surfaces
Autor: | Peter Buser |
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EAN: | 9780817649920 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 29.10.2010 |
Kategorie: | |
Schlagworte: | Laplace operator Riemann surfaces Sunada's construction Wolpert's theorem complex Riemann surface theory differential geometry equation geometry proof theorem |
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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.