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Complex Kleinian Groups - Juan Pablo Navarrete,Angel Cano,José Seade

englanti
2014-12-14
63,51 € 84,68 €

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Toimitus 12-18 arkipäivässä

30 päivän palautusoikeus

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. ... Täydellinen kuvaus

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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.¿

Lisätietoja

Kirjoittaja Juan Pablo Navarrete, Angel Cano, José Seade
Julkaisija Birkhäuser
Series Progress in Mathematics
Julkaisuvuosi 2014
Kannen tyyppi Pehmeäkantinen
EAN 9783034808057
Kirjoita oma arvostelusi
Arvostelet: Complex Kleinian Groups
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63,51 € 84,68 €