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Titlebook: Geometry and Spectra of Compact Riemann Surfaces; Peter Buser Book 2010 Springer Science+Business Media, LLC 2010 Laplace operator.Riemann

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書目名稱Geometry and Spectra of Compact Riemann Surfaces
編輯Peter Buser
視頻videohttp://file.papertrans.cn/384/383778/383778.mp4
概述Includes supplementary material:
叢書名稱Modern Birkh?user Classics
圖書封面Titlebook: Geometry and Spectra of Compact Riemann Surfaces;  Peter Buser Book 2010 Springer Science+Business Media, LLC 2010 Laplace operator.Riemann
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
關(guān)鍵詞Laplace operator; Riemann surfaces; Sunada’s construction; Wolpert’s theorem; complex Riemann surface th
版次1
doihttps://doi.org/10.1007/978-0-8176-4992-0
isbn_softcover978-0-8176-4991-3
isbn_ebook978-0-8176-4992-0Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightSpringer Science+Business Media, LLC 2010
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,Perturbations of the Laplacian in Teichmüller Space,
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Geometry and Spectra of Compact Riemann Surfaces978-0-8176-4992-0Series ISSN 2197-1803 Series E-ISSN 2197-1811
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https://doi.org/10.1007/978-0-8176-4992-0Laplace operator; Riemann surfaces; Sunada’s construction; Wolpert’s theorem; complex Riemann surface th
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Book 2010 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 sur
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