Complex Kleinian Groups: 303 (Progress in Mathematics, 303)
Language: English
Published by Birkhäuser, 2012
- Hardcover
- New
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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: 272 pages, biography. BIC Classification: PBF; PBG; PBKD; PBWR. Category: (P) Professional & Vocational. Dimension: 243 x 161 x 22. Weight in Grams: 582. . 2012. 2013th Edition. hardcover. . . . . Books ship from the US and Ireland.
Seller Inventory # V9783034804806
- Title
- Complex Kleinian Groups: 303 (Progress in Mathematics, 303)
- Author
- Cano, Angel
- Publisher
- Birkhäuser
- Publication year
- 2012
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3034804806
- ISBN 13
- 9783034804806
- Series
- Book 127 of 170: Progress in Mathematics
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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