Articles liés à Complex Kleinian Groups
Synopsis
This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces 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 be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going 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 are different 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 case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds.
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Présentation de l'éditeur
This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces 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 be regarded too as being groups of holomorphic automorphisms of the complex projective line CP 1. When going 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 are different 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 case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds.
Revue de presse
From the reviews:
The book is written in a clear, accessible manner and selected chapters could easily serve as a text for a graduate course on this topic. It also brings together many results published by the authors, their collaborators and others on this topic, as well as giving open questions and directions for future research. (John R. Parker, Mathematical Reviews, February, 2014)
A wonderful monograph on complex Kleinian groups which is of great interest for researchers and graduate students in the area of complex Kleinian groups and hyperbolic geometry. Each individual chapter is a unit by itself. ... The monograph is very well written and structured. ... I strongly recommend it. --(Gerhard Rosenberger, zbMATH, Vol. 1267, 2013)Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Complex Kleinian Groups (Progress in Mathematics, 303)
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Complex Kleinian Groups (Progress in Mathematics, 303)
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Complex Kleinian Groups (Paperback)
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Birkhauser Verlag AG, Basel, 2014
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ISBN 13 : 9783034808057
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Paperback. Etat : new. Paperback. This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going 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 are different 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 case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds. This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783034808057
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Complex Kleinian Groups (Progress in Mathematics, 303)
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Complex Kleinian Groups (Progress in Mathematics)
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9783034808057
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Complex Kleinian Groups
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Springer Basel Dez 2014, 2014
ISBN 10 : 3034808054
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Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces 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 be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going 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 are different 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 case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds. 292 pp. Englisch. N° de réf. du vendeur 9783034808057
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Complex Kleinian Groups
Edité par
Birkhauser Verlag AG, 2014
ISBN 10 : 3034808054
ISBN 13 : 9783034808057
Neuf
Couverture souple
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. This book explores complex Kleinian groups, a new area of mathematics born in the work of Riemann, Poincare, Picard and others. The author brings together classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and more. Series: Progress in Mathematics. Num Pages: 292 pages, biography. BIC Classification: PBG; PBKD; PBWR. Category: (G) General (US: Trade). Dimension: 235 x 155 x 16. Weight in Grams: 450. . 2014. Paperback. . . . . N° de réf. du vendeur V9783034808057
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Complex Kleinian Groups
Edité par
Birkhauser Verlag AG, 2014
ISBN 10 : 3034808054
ISBN 13 : 9783034808057
Neuf
Couverture souple
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
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Etat : New. This book explores complex Kleinian groups, a new area of mathematics born in the work of Riemann, Poincare, Picard and others. The author brings together classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and more. Series: Progress in Mathematics. Num Pages: 292 pages, biography. BIC Classification: PBG; PBKD; PBWR. Category: (G) General (US: Trade). Dimension: 235 x 155 x 16. Weight in Grams: 450. . 2014. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9783034808057
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Complex Kleinian Groups
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Lays down the foundations of a new field of mathematics including areas as important as real and complex hyperbolic geometry, discrete group actions in complex geometry and the uniformization problemFirst book of its kind in the literature . N° de réf. du vendeur 4318377
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Complex Kleinian Groups
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 2013 edition. 292 pages. 9.30x6.20x0.66 inches. In Stock. N° de réf. du vendeur x-3034808054
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