Foundations of Hyperbolic Manifolds. 3rd ed. 2019
- 種類:
- 電子ブック
- 責任表示:
- by John G. Ratcliffe
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2019
- 著者名:
- シリーズ名:
- Graduate Texts in Mathematics ; 149
- ISBN:
- 9783030315979 [3030315975]
- 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. 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 p - ローカル注記:
- 学内専用E-BOOKS (local access only)
類似資料:
Springer Science+Business Media, LLC |
Springer Berlin Heidelberg : Imprint: Springer |
Birkhäuser Boston |
Springer International Publishing : Imprint: Springer |
Springer Science+Business Media, LLC |
Springer International Publishing : Imprint: Springer |
Springer-Verlag |
Springer Berlin Heidelberg : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |