Fundamentals of Hyperbolic Manifolds: Selected Expositions: 328 (London Mathematical Society Lecture Note Series, Series Number 328) - Softcover

Softcover

ISBN 10: 0521615585 ISBN 13: 9780521615587

Publisher: Cambridge University Press, 2006

Synopsis

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.

About this title

About the Authors

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2006
• Language: English
• ISBN 10: 0521615585
• ISBN 13: 9780521615587
• Binding: Paperback
• Number of pages: 348
• Editor: Canary Richard