Electronic Resource

Complex kleinian groups

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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.​

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E665

Penerbit

New York : Springer, NY., 2013

Deskripsi Fisik

xx, 272 hlm.

Bahasa

English

ISBN/ISSN

9783034804813

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

Ed.1

Subjek

Matematika
Sistem Dinamis dan Teori Ergodis

Info Detail Spesifik

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Pernyataan Tanggungjawab

Angel Cano , Juan Pablo Navarrete , José Seade

Versi lain/terkait

Lampiran Berkas

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