Fundamentals of Hyperbolic Manifolds: Selected Expositions (Google eBook)
R. D. Canary, A. Marden, D. B. A. Epstein
Cambridge University Press, Apr 13, 2006 - Mathematics - 335 pages
This book includes reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of some of Thurston's pioneering Princeton Notes, with a new introduction describing recent advances, including an up-to-date bibliography. Part II expounds the theory of convex hull boundaries: a new appendix describes recent work. Part III is Thurston's famous paper on earthquakes in hyperbolic geometry. The final part introduces the theory of measures on the limit set. Graduate students and researchers will welcome this rigorous introduction to the modern theory of hyperbolic manifolds.
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1 G Xstructures
2 Hyperbolic structures
3 Spaces of hyberbolic manifolds
5 Pleated surfaces
CONVEX HULLS IN HYPERBOLIC SPACE
14 Convergence of laminations
EARTHQUAKES IN 2DIMENSIONAL
3 Associating earthquakes to maps of the circle
5 Earthquakes on hyperbolic surfaces
LECTURES ON MEASURES ON LIMIT SETS
2 A measure on the limit set
3 First fruits
4 Spectral theory
Chapter I1 3 Measured pleated surfaces
5 Geodesic flows
20, Fundamentals of hyperbolic geometry : selected expositions / edited by Richard D. Canary, David Epstein, Albert Marden. -- : pbk. ...
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<a href="http://arxiv.org/abs/math.GT/0701342v1">arxiv:math.GT ...
Convergence and divergence of. Kleinian punctured torus groups. Kentaro Ito. January 12, 2007. Abstract. In this paper we give a necessary and sufficient ...
arxiv.org/ pdf/ math.GT/ 0701342