Kleinian groups which are limits of geometrically finite groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
AMS
2005
|
| Schriftenreihe: | American Mathematical Society
Memoirs of the American Mathematical Society ; 834 = [N.S.], 177,2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 116 S. graph. Darst. |
| ISBN: | 0821837729 |
Internformat
MARC
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| 300 | |a XII, 116 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804133577745498112 |
|---|---|
| adam_text | Contents
Abstract vii
Introduction ix
Chapter 1. Preliminaries 1
l.A. Generalities 1
l.B. Compact cores, ends of hyperbolic 3 manifolds 2
l.C. Geodesic and measured laminations 3
l.D. Masur domain 5
I.E. Pleated surfaces 6
l.F. Train tracks 8
l.G. Algebraic and geometric convergence 9
Chapter 2. Statements of theorems 13
Chapter 3. Characteristic compression bodies 15
Chapter 4. The Masur domain and Ahlfors conjecture 19
4.A. The main result in this chapter 19
4.B. Realization by pleated surfaces for measured laminations on
the exterior boundaries of compression bodies. 20
4.C. Approximation by train tracks. 23
4.D. Realization by pleated surfaces 32
4.E. A product neighbourhood of the end 35
Chapter 5. Branched covers and geometric limit 53
Chapter 6. Non realizable measured laminations 59
Chapter 7. Strong convergence of function groups 83
Chapter 8. Proof of the main theorem 87
8.A. A special case 87
8.B. The existence of a homeomorphism 88
8.C. Lemmata for the proof of Lemma 8.2 88
8.D. Proof of Lemma 8.2 and Proposition 8.1 104
8.E. Concluding the proof of Theorem 2.1 108
Bibliography 111
V
vi CONTENTS
Index 115
|
| any_adam_object | 1 |
| author | Ōshika, Keni̕chi 1961- |
| author_GND | (DE-588)1056132000 |
| author_facet | Ōshika, Keni̕chi 1961- |
| author_role | aut |
| author_sort | Ōshika, Keni̕chi 1961- |
| author_variant | k ō kō |
| building | Verbundindex |
| bvnumber | BV020017700 |
| classification_rvk | SK 340 |
| classification_tum | MAT 572f MAT 306f |
| ctrlnum | (OCoLC)440891233 (DE-599)BVBBV020017700 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV020017700 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:10:56Z |
| institution | BVB |
| isbn | 0821837729 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013339141 |
| oclc_num | 440891233 |
| open_access_boolean | |
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| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-188 DE-19 DE-BY-UBM DE-83 DE-11 |
| physical | XII, 116 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | AMS |
| record_format | marc |
| series | American Mathematical Society |
| series2 | American Mathematical Society : Memoirs of the American Mathematical Society |
| spelling | Ōshika, Keni̕chi 1961- Verfasser (DE-588)1056132000 aut Kleinian groups which are limits of geometrically finite groups Ken'ichi Ohshika Providence, RI AMS 2005 XII, 116 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society : Memoirs of the American Mathematical Society 834 = [N.S.], 177,2 Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Kleinsche Gruppe (DE-588)4164159-0 gnd rswk-swf Niederdimensionale Topologie (DE-588)4280826-1 gnd rswk-swf Kleinsche Gruppe (DE-588)4164159-0 s Niederdimensionale Topologie (DE-588)4280826-1 s Hyperbolische Geometrie (DE-588)4161041-6 s Transformationsgruppe (DE-588)4127386-2 s DE-604 American Mathematical Society Memoirs of the American Mathematical Society ; 834 = [N.S.], 177,2 (DE-604)BV008000141 834 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013339141&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ōshika, Keni̕chi 1961- Kleinian groups which are limits of geometrically finite groups American Mathematical Society Transformationsgruppe (DE-588)4127386-2 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd Kleinsche Gruppe (DE-588)4164159-0 gnd Niederdimensionale Topologie (DE-588)4280826-1 gnd |
| subject_GND | (DE-588)4127386-2 (DE-588)4161041-6 (DE-588)4164159-0 (DE-588)4280826-1 |
| title | Kleinian groups which are limits of geometrically finite groups |
| title_auth | Kleinian groups which are limits of geometrically finite groups |
| title_exact_search | Kleinian groups which are limits of geometrically finite groups |
| title_full | Kleinian groups which are limits of geometrically finite groups Ken'ichi Ohshika |
| title_fullStr | Kleinian groups which are limits of geometrically finite groups Ken'ichi Ohshika |
| title_full_unstemmed | Kleinian groups which are limits of geometrically finite groups Ken'ichi Ohshika |
| title_short | Kleinian groups which are limits of geometrically finite groups |
| title_sort | kleinian groups which are limits of geometrically finite groups |
| topic | Transformationsgruppe (DE-588)4127386-2 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd Kleinsche Gruppe (DE-588)4164159-0 gnd Niederdimensionale Topologie (DE-588)4280826-1 gnd |
| topic_facet | Transformationsgruppe Hyperbolische Geometrie Kleinsche Gruppe Niederdimensionale Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013339141&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT oshikakenichi kleiniangroupswhicharelimitsofgeometricallyfinitegroups |