| 书目名称 | Foundations of Hyperbolic Manifolds |
| 编辑 | John G. Ratcliffe |
| 视频video | |
| 概述 | Carefully written textbook that has been heavily class-tested.Each chapter contains exercises and a section of historical remarks.Contains over 150 figures.Solutions manual available separately.Includ |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 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. ...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. |
| 出版日期 | Textbook 20062nd edition |
| 关键词 | Dimension; Grad; Isometrie; Volume; derivation; hyperbolic manifolds; manifold; polytope; topology |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-0-387-47322-2 |
| isbn_softcover | 978-1-4419-2202-1 |
| isbn_ebook | 978-0-387-47322-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2006 |
发表于 2025-3-21 18:16:15
