Fundamentals of hyperbolic geometry: selected expositions
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...
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| Weitere beteiligte Personen: | , , , , |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Schriftenreihe: | London Mathematical Society lecture note series
328 |
| Links: | https://doi.org/10.1017/CBO9781139106986 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 335 Seiten) |
| ISBN: | 9781139106986 |
Internformat
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| 245 | 0 | 0 | |a Fundamentals of hyperbolic geometry |b selected expositions |c edited by Richard D. Canary, David Epstein, Albert Marden |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 328 | |
| 520 | |a 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. | ||
| 700 | 1 | |a Canary, Richard Douglas | |
| 700 | 1 | |a Epstein, D. B. A. | |
| 700 | 1 | |a Marden, Albert | |
| 700 | 1 | 2 | |a Patterson, S. J. |t Lectures on measures on limit sets of Kleinian groups |
| 700 | 1 | 2 | |a Thurston, William P. |d 1946-2012 |t Earthquakes in 2-dimensional hyperbolic geometry |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521615587 |
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| spelling | Fundamentals of hyperbolic geometry selected expositions edited by Richard D. Canary, David Epstein, Albert Marden Cambridge Cambridge University Press 2006 1 Online-Ressource (xii, 335 Seiten) txt c cr London Mathematical Society lecture note series 328 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. Canary, Richard Douglas Epstein, D. B. A. Marden, Albert Patterson, S. J. Lectures on measures on limit sets of Kleinian groups Thurston, William P. 1946-2012 Earthquakes in 2-dimensional hyperbolic geometry Erscheint auch als Druck-Ausgabe 9780521615587 |
| spellingShingle | Fundamentals of hyperbolic geometry selected expositions |
| title | Fundamentals of hyperbolic geometry selected expositions |
| title_alt | Lectures on measures on limit sets of Kleinian groups Earthquakes in 2-dimensional hyperbolic geometry |
| title_auth | Fundamentals of hyperbolic geometry selected expositions |
| title_exact_search | Fundamentals of hyperbolic geometry selected expositions |
| title_full | Fundamentals of hyperbolic geometry selected expositions edited by Richard D. Canary, David Epstein, Albert Marden |
| title_fullStr | Fundamentals of hyperbolic geometry selected expositions edited by Richard D. Canary, David Epstein, Albert Marden |
| title_full_unstemmed | Fundamentals of hyperbolic geometry selected expositions edited by Richard D. Canary, David Epstein, Albert Marden |
| title_short | Fundamentals of hyperbolic geometry |
| title_sort | fundamentals of hyperbolic geometry selected expositions |
| title_sub | selected expositions |
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