| 书目名称 | Geometry and Spectra of Compact Riemann Surfaces | | 编辑 | Peter Buser | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Modern Birkhäuser Classics | | 图书封面 |  | | 描述 | 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, w | | 出版日期 | Book 2010 | | 关键词 | Laplace operator; Riemann surfaces; Sunada’s construction; Wolpert’s theorem; complex Riemann surface th | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4992-0 | | isbn_softcover | 978-0-8176-4991-3 | | isbn_ebook | 978-0-8176-4992-0Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Springer Science+Business Media, LLC 2010 |
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发表于 2025-3-21 19:46:29
