000			03448nam a22005537a 4500
001			sulb-eb0023127
003			BD-SySUS
005			20160413122336.0
007			cr nn 008mamaa
008			121116s2013 sz | s |||| 0|eng d
020			_a9783034804813 _9978-3-0348-0481-3
024	7		_a10.1007/978-3-0348-0481-3 _2doi
050		4	_aQA313
072		7	_aPBWR _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aCano, Angel. _eauthor.
245	1	0	_aComplex Kleinian Groups _h[electronic resource] / _cby Angel Cano, Juan Pablo Navarrete, José Seade.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2013.
300			_aXX, 272 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v303
505	0		_a  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			_aThis 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	_aMathematics.
650		0	_aTopological groups.
650		0	_aLie groups.
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aFunctions of complex variables.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aSeveral Complex Variables and Analytic Spaces.
700	1		_aNavarrete, Juan Pablo. _eauthor.
700	1		_aSeade, José. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034804806
830		0	_aProgress in Mathematics ; _v303
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0481-3
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c45219 _d45219