Fundamentals of Hyperbolic Manifolds

Selected Expositions

Richard Canary, David Epstein, Albert Marden - Collection London Mathematical Society Lecture Notes

344 pages, parution le 19/04/2006

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Résumé

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.

Rigorous introduction to and exposition of some fundamental topics required in the study of hyperbolic manifolds
Important material, not otherwise published, now brought up-to-date; original books frequently requested for advanced lecture courses in hyperbolic geometry
Expositions of a number of topics which are of fundamental importance in the modern theory

L'auteur - Richard Canary

R. D. Canary, Editor, University of Michigan, Ann Arbor

L'auteur - David Epstein

D. B. A. Epstein, University of Warwick

L'auteur - Albert Marden

A. Marden, University of Minnesota

Sommaire

Preface 2005
Preface
Part I. Notes on Notes of Thurston R. D. Canary, D. B. A. Epstein and P. Green
Part II. Convex Hulls in Hyperbolic Space, a Theorem of Sullivan, and Measured Pleated Surfaces D. B. A. Epstein and A. Marden
Part III. Earthquakes in Two-Dimensional Hyperbolic Geometry William P. Thurston
Part IV. Lectures on Measures on Limit Sets of Kleinian Groups S. J. Patterson.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Richard Canary, David Epstein, Albert Marden
Collection	London Mathematical Society Lecture Notes
Parution	19/04/2006
Nb. de pages	344
Format	15,5 x 22,5
Couverture	Broché
Poids	480g
Intérieur	Noir et Blanc
EAN13	9780521615587
ISBN13	978-0-521-61558-7