Complex Kleinian groups
This monograph lays down the foundations of the theory of complex Kleinian groups, a newborn area of mathematics whose origin can be traced back to the work of Riemann, Poincaré, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann spher...
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| Hlavní autoři: | , , |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2013. |
| Edice: | Progress in Mathematics
303 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Complex Kleinian groups, Angel Cano, Juan Pablo Navarrete, José Seade, [Basel], Birkhäuser, Springer, 2013, 1 vol. (XX-271 p.), Progress in mathematics, 978-3-03-480480-6 • Complex Kleinian Groups, Texte imprimé, 9783034804820 • Complex Kleinian Groups, Texte imprimé, 9783034808057 • Complex Kleinian groups, Angel Cano, Juan Pablo Navarrete, José Seade, [Basel], Birkhäuser, Springer, 2013, 1 vol. (XX-271 p.), Progress in mathematics, 978-3-03-480480-6 |
| Shrnutí: | This monograph lays down the foundations of the theory of complex Kleinian groups, a newborn area of mathematics whose origin can be traced back to the work of Riemann, Poincaré, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can themselves be regarded as groups of holomorphic automorphisms of the complex projective line CP1. When we go into higher dimensions, there is a dichotomy: Should we look at conformal automorphisms of the n-sphere? or should we look at holomorphic automorphisms of higher dimensional complex projective spaces? These two theories differ in higher dimensions. In the first case we are talking about groups of isometries of real hyperbolic spaces, an area of mathematics with a long-standing tradition; in the second, about an area of mathematics that is still in its infancy, and this is the focus of study in this monograph. It brings together several important areas of mathematics, e.g. classical Kleinian group actions, complex hyperbolic geometry, crystallographic groups and the uniformization problem for complex manifolds |
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| Popis jednotky: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783034804813 |
| ISSN: | 2296-505X |
| Přístup: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |