Fundamentals of Hyperbolic Manifolds
Selected Expositions
Part of London Mathematical Society Lecture Note Series
- Editors:
- R. D. Canary, University of Michigan, Ann Arbor
- A. Marden, University of Minnesota
- D. B. A. Epstein, University of Warwick
- Date Published: April 2006
- availability: Temporarily unavailable - available from TBC
- format: Paperback
- isbn: 9780521615587
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.
-
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.
Read more- 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 book covers the basic properties, and explains the mathematical framework for understanding the 3-dimensional spaces that support a hyperbolic metric.' L'enseignement mathematique
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: April 2006
- format: Paperback
- isbn: 9780521615587
- length: 348 pages
- dimensions: 227 x 152 x 18 mm
- weight: 0.492kg
- contains: 75 b/w illus.
- availability: Temporarily unavailable - available from TBC
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×