Fundamentals of Hyperbolic Manifolds
Fundamentals of Hyperbolic Manifolds
A. Marden, University of Minnesota
D. B. A. Epstein, University of Warwick
$102.00
USDThis 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.
- 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
Reviews & endorsements
"...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
Product details
June 2006Paperback
9780521615587
348 pages
227 × 152 × 18 mm
0.492kg
75 b/w illus.
Available
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.
