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Titlebook: Foundations of Hyperbolic Manifolds; John G. Ratcliffe Textbook 19941st edition Springer Science+Business Media New York 1994 Grad.Isometr

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書目名稱Foundations of Hyperbolic Manifolds
編輯John G. Ratcliffe
視頻videohttp://file.papertrans.cn/347/346987/346987.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Foundations of Hyperbolic Manifolds;  John G. Ratcliffe Textbook 19941st edition Springer Science+Business Media New York 1994 Grad.Isometr
描述This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar- gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap- ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg‘s lemma. The second part, consisting of Chapters 8-12, is de- voted to the theory of hyperbolic manifolds. The main results are Mostow‘s rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in- tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering spa
出版日期Textbook 19941st edition
關(guān)鍵詞Grad; Isometrie; algebra; development; geometry; hyperbolic geometry; hyperbolic manifolds; knowledge; manif
版次1
doihttps://doi.org/10.1007/978-1-4757-4013-4
isbn_ebook978-1-4757-4013-4Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1994
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