Angel Cano

(Author)

Complex Kleinian Groups (2013)Hardcover - 2013, 6 November 2012

Complex Kleinian Groups (2013)
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Part of Series
Progress in Mathematics
Print Length
272 pages
Language
English
Publisher
Birkhauser
Date Published
6 Nov 2012
ISBN-10
3034804806
ISBN-13
9783034804806

Description

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.​

Product Details

Authors:
Angel CanoJuan Pablo NavarreteJosé Seade
Book Edition:
2013
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
6 November 2012
Dimensions:
23.37 x 15.75 x 2.29 cm
Genre:
Science/Technology Aspects
ISBN-10:
3034804806
ISBN-13:
9783034804806
Language:
English
Location:
Basel
Pages:
272
Publisher:
Weight:
453.59 gm

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