Foundations of hyperbolic manifolds
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 characterizatio...
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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Редактирование: | 2nd edition. |
| Серии: | Graduate Texts in Mathematics
149 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Description d'après consultation du 25 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Foundations of hyperbolic manifolds, John G. Ratcliffe, 2nd edition, 2006, New York, Springer, 1 vol. (XII-779 p.), Graduate texts in mathematics, 0-387-33197-2 • Foundations of Hyperbolic Manifolds, Texte imprimé, 9781441922021 • Frontiers in experimental fluid mechanics, M. Gad-el-Hak (Ed.), Berlin, Springer, 1989, 1 volume (iv-532 pages), Lecture notes in engineering, 3-540-51296-9 • Foundations of hyperbolic manifolds, John G. Ratcliffe, 2nd edition, 2006, New York, Springer, 1 vol. (XII-779 p.), Graduate texts in mathematics, 0-387-33197-2 |
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| 100 | 1 | |a Ratcliffe, John G., |d 1948- | |
| 245 | 1 | 0 | |a Foundations of hyperbolic manifolds |c John G. Ratcliffe. |
| 250 | |a 2nd edition. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 149 |x 2197-5612 | |
| 500 | |a Description d'après consultation du 25 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 745-767. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Groupes discrets | ||
| 650 | |a Espaces hyperboliques | ||
| 650 | |a Géométrie hyperbolique | ||
| 776 | 0 | |0 111866448 |t Foundations of hyperbolic manifolds |f John G. Ratcliffe |e 2nd edition |d 2006 |c New York |n Springer |p 1 vol. (XII-779 p.) |s Graduate texts in mathematics |z 0-387-33197-2 | |
| 776 | 0 | |t Foundations of Hyperbolic Manifolds |b Texte imprimé |z 9781441922021 | |
| 776 | 0 | |0 006953301 |t Frontiers in experimental fluid mechanics |f M. Gad-el-Hak (Ed.) |c Berlin |n Springer |d 1989 |p 1 volume (iv-532 pages) |s Lecture notes in engineering |z 3-540-51296-9 | |
| 776 | 0 | |0 111866448 |t Foundations of hyperbolic manifolds |f John G. Ratcliffe |e 2nd edition |d 2006 |c New York |n Springer |p 1 vol. (XII-779 p.) |s Graduate texts in mathematics |z 0-387-33197-2 | |
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