Complex hyperbolic geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1999
|
| Edition: | 1. publ. |
| Series: | Oxford mathematical monographs
Oxford science publications |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 316 S. graph. Darst. |
| ISBN: | 019853793X |
Staff View
MARC
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| 245 | 1 | 0 | |a Complex hyperbolic geometry |c William M. Goldman |
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| 650 | 7 | |a Geometria |2 larpcal | |
| 650 | 7 | |a Géométrie hyperbolique |2 ram | |
| 650 | 7 | |a Variedades complexas |2 larpcal | |
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Record in the Search Index
| _version_ | 1804127130187988992 |
|---|---|
| adam_text | CONTENTS
1 The complex projective line 1
1.1 Projective geometry 1
1.2 Circles 9
1.3 Elliptic geometry 11
1.4 Hyperbolic geometry 21
2 Algebraic and geometric background 29
2.1 Linear algebra 29
2.2 Hermitian linear algebra 33
2.3 Symplectic geometry 46
2.4 Complex analysis 51
2.5 Contact geometry and CR geometry 54
2.6 Heisenberg spaces 59
3 The ball model 67
3.1 The unit ball in Cn and its projective model 67
3.2 Trigonometry 84
3.3 Computations in the ball model 99
4 The paraboloid model and Heisenberg geometry 111
4.1 The Siegel domain 111
4.2 Heisenberg geometry 118
4.3 Chains 125
4.4 K circles 137
5 Bisectors and spinal spheres 152
5.1 Two decompositions of bisectors 152
5.2 Automorphisms of bisectors 163
5.3 Elementary bisector intersections 169
5.4 Calibrating the CR structure at infinity 179
5.5 Differential geometry of bisectors 186
6 Automorphisms 195
6.1 Symplectic geometry of Hg 195
6.2 Classification of automorphisms in dimension 2 202
7 Numerical invariants 210
7.1 Cartan s angular invariant 210
7.2 The complex cross ratio 224
7.3 Real geodesies and complex hyperplanes 230
xx CONTENTS
8 Extors in Projective Space 248
8.1 Extending bisectors to extors 248
8.2 Topology and symmetry of an extor 253
8.3 Pairs of extors 260
9 Intersections of bisectors 271
9.1 Pairs of spinal spheres 272
9.2 Connected bisector intersections 281
9.3 Dirichlet and Ford polyhedra 294
A Comments on Giraud s paper 299
References 303
Index 313
|
| any_adam_object | 1 |
| author | Goldman, William M. 1955- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)40881888 (DE-599)BVBBV012487535 |
| dewey-full | 516.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.9 |
| dewey-search | 516.9 |
| dewey-sort | 3516.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV012487535 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:27Z |
| institution | BVB |
| isbn | 019853793X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008476113 |
| oclc_num | 40881888 |
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| owner_facet | DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 |
| physical | XX, 316 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs Oxford science publications |
| spelling | Goldman, William M. 1955- Verfasser (DE-588)1089595271 aut Complex hyperbolic geometry William M. Goldman 1. publ. Oxford Clarendon Press 1999 XX, 316 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Oxford science publications Fonctions d'une variable complexe ram Geometria hiperbólica e elítica larpcal Geometria larpcal Géométrie hyperbolique ram Variedades complexas larpcal Functions of complex variables Geometry, Hyperbolic Komplexe Geometrie (DE-588)4164898-5 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 s Komplexe Geometrie (DE-588)4164898-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008476113&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goldman, William M. 1955- Complex hyperbolic geometry Fonctions d'une variable complexe ram Geometria hiperbólica e elítica larpcal Geometria larpcal Géométrie hyperbolique ram Variedades complexas larpcal Functions of complex variables Geometry, Hyperbolic Komplexe Geometrie (DE-588)4164898-5 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| subject_GND | (DE-588)4164898-5 (DE-588)4161041-6 |
| title | Complex hyperbolic geometry |
| title_auth | Complex hyperbolic geometry |
| title_exact_search | Complex hyperbolic geometry |
| title_full | Complex hyperbolic geometry William M. Goldman |
| title_fullStr | Complex hyperbolic geometry William M. Goldman |
| title_full_unstemmed | Complex hyperbolic geometry William M. Goldman |
| title_short | Complex hyperbolic geometry |
| title_sort | complex hyperbolic geometry |
| topic | Fonctions d'une variable complexe ram Geometria hiperbólica e elítica larpcal Geometria larpcal Géométrie hyperbolique ram Variedades complexas larpcal Functions of complex variables Geometry, Hyperbolic Komplexe Geometrie (DE-588)4164898-5 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| topic_facet | Fonctions d'une variable complexe Geometria hiperbólica e elítica Geometria Géométrie hyperbolique Variedades complexas Functions of complex variables Geometry, Hyperbolic Komplexe Geometrie Hyperbolische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008476113&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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