<電子ブック>
Foundations of Hyperbolic Manifolds / by John Ratcliffe
(Graduate Texts in Mathematics. ISSN:21975612 ; 149)
版 | 2nd ed. 2006. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2006 |
本文言語 | 英語 |
大きさ | XII, 782 p : online resource |
著者標目 | *Ratcliffe, John author SpringerLink (Online service) |
件 名 | LCSH:Geometry LCSH:Topology LCSH:Algebraic geometry FREE:Geometry FREE:Topology FREE:Algebraic Geometry |
一般注記 | Euclidean Geometry -- Spherical Geometry -- Hyperbolic Geometry -- Inversive Geometry -- Isometries of Hyperbolic Space -- Geometry of Discrete Groups -- Classical Discrete Groups -- Geometric Manifolds -- Geometric Surfaces -- Hyperbolic 3-Manifolds -- Hyperbolic n-Manifolds -- Geometrically Finite n-Manifolds -- Geometric Orbifolds 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. The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. The second part is devoted to the theory of hyperbolic manifolds. The main results are Mostow’s rigidity theorem and the determination of the global geometry of hyperbolic manifolds of finite volume. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The main result is Poincare«s fundamental polyhedron theorem. The exposition if at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds. The second edition is a thorough revision of the first edition that embodies hundreds of changes, corrections, and additions, including over sixty new lemmas, theorems, and corollaries. The new main results are Schl\¬afli’s differential formula and the $n$-dimensional Gauss-Bonnet theorem. John G. Ratcliffe is a Professor of Mathematics at Vanderbilt University HTTP:URL=https://doi.org/10.1007/978-0-387-47322-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9780387473222 |
|
電子リソース |
|
EB00234171 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降