Fundamentals of Hyperbolic Manifolds: Selected Expositions

by R. D. Canary (Editor), A. Marden (Editor), D. B. A. Epstein (Editor)

Overview

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.

Product Details

ISBN-13:	9780521615587
Publisher:	Cambridge University Press
Publication date:	04/13/2006
Series:	London Mathematical Society Lecture Note Series , #328
Pages:	348
Product dimensions:	5.98(w) x 8.94(h) x 0.71(d)

About the Author

Richard Canary is a Professor of Mathematics at the University of Michigan.

Albert Marden is a Professor of Mathematics at the University of Minnesota.

David Epstein is an Emeritus Professor at the University of Warwick.

Table of Contents

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.

Editorial Reviews

"...the reader will find a remarkable set of tools with which to plumb the mysteries of these manifolds."
John McCleary, The Journal of the Mathematical Association of America

From the Publisher