Complex Kleinian Groups is popular PDF and ePub book, written by Angel Cano in 2012-11-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Complex Kleinian Groups can be Read Online from any device for your convenience.
Complex Kleinian Groups Book PDF Summary
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.
Detail Book of Complex Kleinian Groups PDF
- Author : Angel Cano
- Release : 05 November 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783034804813
- Genre : Mathematics
- Total Page : 288 pages
- Language : English
- PDF File Size : 7,6 Mb
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