000 03145nam a22004578i 4500
001 CR9781139106986
003 UkCbUP
005 20200124160242.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110706s2006||||enk o ||1 0|eng|d
020 _a9781139106986 (ebook)
020 _z9780521615587 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA685
_b.F89 2006
082 0 4 _a514.34
_222
245 0 0 _aFundamentals of hyperbolic geometry :
_bselected expositions /
_cedited by Richard D. Canary, David Epstein, Albert Marden.
264 1 _aCambridge :
_bCambridge University Press,
_c2006.
300 _a1 online resource (xii, 335 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v328
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
500 _aSelected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham.
505 0 _aPreface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson.
520 _aPresents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds.
650 0 _aGeometry, Hyperbolic
_vCongresses.
650 0 _aHyperbolic spaces
_vCongresses.
650 0 _aThree-manifolds (Topology)
_vCongresses.
650 0 _aKleinian groups
_vCongresses.
700 1 _aCanary, Richard Douglas,
_eeditor.
700 1 _aMarden, Albert,
_eeditor.
700 1 _aEpstein, D. B. A.,
_eeditor.
700 1 2 _aThurston, William P.,
_d1946-2012.
_tEarthquakes in 2-dimensional hyperbolic geometry
700 1 2 _aPatterson, S. J.
_tLectures on measures on limit sets of Kleinian groups
710 2 _aLondon Mathematical Society,
_eissuing body.
776 0 8 _iPrint version:
_z9780521615587
830 0 _aLondon Mathematical Society lecture note series ;
_v328.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139106986
999 _c518634
_d518632