Fundamentals of Hyperbolic Manifolds: Selected Expositions (London Mathematical Society Lecture Note Series) (v. 3) by R. D. Canary (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “…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 Book Description 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. 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. Read more

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