Format:
1 Online-Ressource (xii, 335 pages)
,
digital, PDF file(s).
ISBN:
9781139106986
Series Statement:
London Mathematical Society lecture note series 328
Uniform Title:
Earthquakes in 2-dimensional hyperbolic geometry
Content:
Presents 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.
Content:
Preface -- 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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015). - Selected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham
,
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521615587
Additional Edition:
ISBN 9780521615587
Additional Edition:
ISBN 9780521615587
Additional Edition:
Erscheint auch als Fundamentals of hyperbolic manifolds Cambridge [u.a.] : Cambridge Univ. Press, 2006 ISBN 9780521615587
Additional Edition:
ISBN 0521615585
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521615587
Language:
English
Subjects:
Mathematics
Keywords:
Hyperbolische Geometrie
DOI:
10.1017/CBO9781139106986
