Complex Kleinian Groups (Record no. 96293)

000 -LEADER
fixed length control field 03392nam a22005175i 4500
001 - CONTROL NUMBER
control field 978-3-0348-0481-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220082836.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
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fixed length control field 121116s2013 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783034804813
-- 978-3-0348-0481-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-0348-0481-3
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA313
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWR
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.48
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cano, Angel.
Relator term author.
245 10 - TITLE STATEMENT
Title Complex Kleinian Groups
Medium [electronic resource] /
Statement of responsibility, etc by Angel Cano, Juan Pablo Navarrete, José Seade.
264 #1 -
-- Basel :
-- Springer Basel :
-- Imprint: Birkhäuser,
-- 2013.
300 ## - PHYSICAL DESCRIPTION
Extent XX, 271 p. 7 illus., 3 illus. in color.
Other physical details online resource.
336 ## -
-- text
-- txt
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-- computer
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-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Progress in Mathematics ;
Volume number/sequential designation 303
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note   Preface -- Introduction -- Acknowledgments -- 1 A glance of the classical theory -- 2 Complex hyperbolic geometry -- 3 Complex Kleinian groups -- 4 Geometry and dynamics of automorphisms of P2C -- 5 Kleinian groups with a control group -- 6 The limit set in dimension two -- 7 On the dynamics of discrete subgroups of PU(n,1) -- 8 Projective orbifolds and dynamics in dimension two -- 9 Complex Schottky groups -- 10 Kleinian groups and twistor theory -- Bibliography -- Index.  .
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations, partial.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups, Lie Groups.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Several Complex Variables and Analytic Spaces.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Navarrete, Juan Pablo.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Seade, José.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783034804806
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Mathematics ;
Volume number/sequential designation 303
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-0348-0481-3
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