| 书目名称 | Foundations of Hyperbolic Manifolds |
| 编辑 | John G. Ratcliffe |
| 视频video | |
| 概述 | Expands on the second edition by including over 40 new lemmas, theorems, and corollaries, as well as a new section dedicated to arithmetic hyperbolic groups.Offers a highly readable and self-contained |
| 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. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. Over 40 new lemmas, theorems, and corollaries feature, along with more than 70 additional exercises. Color adds a new dimension to figures throughout..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 Poincaré’s fundamental polyhedron theorem..The exposition is at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. After reading |
| 出版日期 | Textbook 2019Latest edition |
| 关键词 | Hyperbolic manifolds; Euclidean geometry; Spherical geometry; Inversive geometry; Isotopies of hyperboli |
| 版次 | 3 |
| doi | https://doi.org/10.1007/978-3-030-31597-9 |
| isbn_softcover | 978-3-030-31599-3 |
| isbn_ebook | 978-3-030-31597-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 18:48:04
