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...
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Schriftenreihe: | London Mathematical Society lecture note series
328 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). - Selected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham |
| Beschreibung: | 1 online resource (xii, 335 pages) |
| ISBN: | 9781139106986 |
| DOI: | 10.1017/CBO9781139106986 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043942412 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2006 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139106986 |c Online |9 978-1-139-10698-6 | ||
| 024 | 7 | |a 10.1017/CBO9781139106986 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139106986 | ||
| 035 | |a (OCoLC)967602235 | ||
| 035 | |a (DE-599)BVBBV043942412 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 514.34 |2 22 | |
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 245 | 1 | 0 | |a Fundamentals of hyperbolic geometry |b selected expositions |c edited by Richard D. Canary, David Epstein, Albert Marden |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2006 | |
| 300 | |a 1 online resource (xii, 335 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 328 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015). - Selected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham | ||
| 505 | 8 | |a Preface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson | |
| 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 | ||
| 650 | 4 | |a Geometry, Hyperbolic / Congresses | |
| 650 | 4 | |a Hyperbolic spaces / Congresses | |
| 650 | 4 | |a Three-manifolds (Topology) / Congresses | |
| 650 | 4 | |a Kleinian groups / Congresses | |
| 650 | 0 | 7 | |a Hyperbolische Mannigfaltigkeit |0 (DE-588)4161044-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Hyperbolische Mannigfaltigkeit |0 (DE-588)4161044-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Canary, Richard Douglas |4 edt | |
| 700 | 1 | |a Marden, Albert |4 edt | |
| 700 | 1 | |a Epstein, D. B. A. |4 edt | |
| 700 | 1 | |a Thurston, William P. |d 1946-2012 |e Sonstige |4 oth | |
| 700 | 1 | |a Patterson, S. J. |e Sonstige |4 oth | |
| 711 | 2 | |a London Mathematical Society |a issuing body |j Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-61558-7 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139106986 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029351382 | ||
| 966 | e | |u https://doi.org/10.1017/CBO9781139106986 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139106986 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176885165326336 |
|---|---|
| any_adam_object | |
| author2 | Canary, Richard Douglas Marden, Albert Epstein, D. B. A. |
| author2_role | edt edt edt |
| author2_variant | r d c rd rdc a m am d b a e dba dbae |
| author_facet | Canary, Richard Douglas Marden, Albert Epstein, D. B. A. |
| building | Verbundindex |
| bvnumber | BV043942412 |
| classification_rvk | SK 350 |
| collection | ZDB-20-CBO |
| contents | Preface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson |
| ctrlnum | (ZDB-20-CBO)CR9781139106986 (OCoLC)967602235 (DE-599)BVBBV043942412 |
| dewey-full | 514.34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.34 |
| dewey-search | 514.34 |
| dewey-sort | 3514.34 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139106986 |
| format | Electronic Conference Proceeding eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03637nmm a2200565zcb4500</leader><controlfield tag="001">BV043942412</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2006 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139106986</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-10698-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139106986</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139106986</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967602235</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043942412</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.34</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fundamentals of hyperbolic geometry</subfield><subfield code="b">selected expositions</subfield><subfield code="c">edited by Richard D. Canary, David Epstein, Albert Marden</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 335 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">328</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015). - Selected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Preface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Hyperbolic / Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hyperbolic spaces / Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Three-manifolds (Topology) / Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kleinian groups / Congresses</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hyperbolische Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4161044-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Hyperbolische Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4161044-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Canary, Richard Douglas</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Marden, Albert</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Epstein, D. B. A.</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Thurston, William P.</subfield><subfield code="d">1946-2012</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Patterson, S. J.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="711" ind1="2" ind2=" "><subfield code="a">London Mathematical Society</subfield><subfield code="a">issuing body</subfield><subfield code="j">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-61558-7</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139106986</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029351382</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139106986</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139106986</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV043942412 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781139106986 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351382 |
| oclc_num | 967602235 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 335 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Fundamentals of hyperbolic geometry selected expositions edited by Richard D. Canary, David Epstein, Albert Marden Cambridge Cambridge University Press 2006 1 online resource (xii, 335 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 328 Title from publisher's bibliographic system (viewed on 05 Oct 2015). - Selected papers presented at two symposia held in 1984 at the Universities of Warwick and Durham Preface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson 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 Geometry, Hyperbolic / Congresses Hyperbolic spaces / Congresses Three-manifolds (Topology) / Congresses Kleinian groups / Congresses Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s DE-604 Canary, Richard Douglas edt Marden, Albert edt Epstein, D. B. A. edt Thurston, William P. 1946-2012 Sonstige oth Patterson, S. J. Sonstige oth London Mathematical Society issuing body Sonstige oth Erscheint auch als Druckausgabe 978-0-521-61558-7 https://doi.org/10.1017/CBO9781139106986 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Fundamentals of hyperbolic geometry selected expositions Preface -- Preface 2005 -- Notes on notes of Thurston / R.D. Canary, D.B.A. Epstein, P.L. Green -- Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated survaces / D.B.A. Epstein, A. Marden -- Earthquakes in 2-dimensional hyperbolic geometry / W.P. Thurston -- Lectures on measures on limit sets of Kleinian groups / S.J. Patterson Geometry, Hyperbolic / Congresses Hyperbolic spaces / Congresses Three-manifolds (Topology) / Congresses Kleinian groups / Congresses Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| subject_GND | (DE-588)4161044-1 (DE-588)1071861417 |
| title | Fundamentals of hyperbolic geometry selected expositions |
| 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 |
| topic | Geometry, Hyperbolic / Congresses Hyperbolic spaces / Congresses Three-manifolds (Topology) / Congresses Kleinian groups / Congresses Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| topic_facet | Geometry, Hyperbolic / Congresses Hyperbolic spaces / Congresses Three-manifolds (Topology) / Congresses Kleinian groups / Congresses Hyperbolische Mannigfaltigkeit Konferenzschrift |
| url | https://doi.org/10.1017/CBO9781139106986 |
| work_keys_str_mv | AT canaryricharddouglas fundamentalsofhyperbolicgeometryselectedexpositions AT mardenalbert fundamentalsofhyperbolicgeometryselectedexpositions AT epsteindba fundamentalsofhyperbolicgeometryselectedexpositions AT thurstonwilliamp fundamentalsofhyperbolicgeometryselectedexpositions AT pattersonsj fundamentalsofhyperbolicgeometryselectedexpositions AT londonmathematicalsocietyissuingbody fundamentalsofhyperbolicgeometryselectedexpositions |