Geodesic and horocyclic trajectories:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2011
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| Series: | Universitext
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 171 - 174 |
| Physical Description: | XII, 176 S. graph. Darst. |
| ISBN: | 9780857290724 9782759800834 9780857290731 |
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Record in the Search Index
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Titel: Geodesic and horocyclic trajectories
Autor: Dal'Bo, Françoise
Jahr: 2011
Contents
I Dynamics of Fuchsian groups. 1
1 Introduction to the planar hyperbolic geometry. 1
2 Positive isometries and Fuchsian groups. 14
3 Limit points of Fuchsian groups. 24
4 Geometric finiteness. 32
5 Comments. 41
II Examples of Fuchsian groups. 45
1 Schottky groups. 45
2 Encoding the limit set of a Schottky group . 54
3 The modular group and two subgroups. 58
4 Expansions of continued fractions. 66
5 Comments. 78
III Topological dynamics of the geodesic flow. 79
1 Preliminaries on the geodesic flow. 79
2 Topological properties of geodesic trajectories. 83
3 Periodic trajectories and their periods. 89
4 Dense trajectories. 94
5 Comments. 95
IV Schottky groups and symbolic dynamics. 97
1 Coding. 98
2 The density of periodic and dense trajectories.100
3 Applications to the general case.103
4 Comments.107
V Topological dynamics of the horocycle flow.109
1 Preliminaries.109
2 The horocycle flow on a quotient.113
3 Dense and periodic trajectories.117
xii Contents
4 Geometrically finite Fuchsian groups.122
5 Comments.123
VI The Lorentzian point of view.127
1 The hyperboloid model.128
2 Dynamics of the geodesic flow.134
3 Dynamics of the horocycle flow.139
4 Comments.142
VII Trajectories and Diophantine approximations.143
1 Excursions of a geodesic ray into a cusp.144
2 Geometrically badly approximated points.149
3 Diophantine approximations.152
4 Comments.160
A Basic concepts in topological dynamics.163
 Basic concepts in Riemannian geometry.167
References.171
Index.175 |
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| indexdate | 2024-08-03T01:58:27Z |
| institution | BVB |
| isbn | 9780857290724 9782759800834 9780857290731 |
| language | English |
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| physical | XII, 176 S. graph. Darst. |
| publishDate | 2011 |
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| spelling | Dal'Bo, Françoise Verfasser (DE-588)1048494691 aut Trajectoires géodésiques et horocycliques Geodesic and horocyclic trajectories Françoise Dal'Bo London [u.a.] Springer 2011 XII, 176 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 171 - 174 Fuchs-Gruppe (DE-588)4155566-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Trajektorie Kinematik (DE-588)4208631-0 gnd rswk-swf Geodätischer Fluss (DE-588)4156670-1 gnd rswk-swf Trajektorie Kinematik (DE-588)4208631-0 s Geodätischer Fluss (DE-588)4156670-1 s Fuchs-Gruppe (DE-588)4155566-1 s Dynamisches System (DE-588)4013396-5 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3517106&prov=M&dok_var=1&dok_ext=htm Inhaltstext DE-601 pdf/application http://www.gbv.de/dms/goettingen/632498196.pdf Inhaltsverzeichnis DE-601 pdf/application http://zbmath.org/?q=an:1205.37050 Zentralblatt MATH Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027644910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dal'Bo, Françoise Geodesic and horocyclic trajectories Fuchs-Gruppe (DE-588)4155566-1 gnd Dynamisches System (DE-588)4013396-5 gnd Trajektorie Kinematik (DE-588)4208631-0 gnd Geodätischer Fluss (DE-588)4156670-1 gnd |
| subject_GND | (DE-588)4155566-1 (DE-588)4013396-5 (DE-588)4208631-0 (DE-588)4156670-1 |
| title | Geodesic and horocyclic trajectories |
| title_alt | Trajectoires géodésiques et horocycliques |
| title_auth | Geodesic and horocyclic trajectories |
| title_exact_search | Geodesic and horocyclic trajectories |
| title_full | Geodesic and horocyclic trajectories Françoise Dal'Bo |
| title_fullStr | Geodesic and horocyclic trajectories Françoise Dal'Bo |
| title_full_unstemmed | Geodesic and horocyclic trajectories Françoise Dal'Bo |
| title_short | Geodesic and horocyclic trajectories |
| title_sort | geodesic and horocyclic trajectories |
| topic | Fuchs-Gruppe (DE-588)4155566-1 gnd Dynamisches System (DE-588)4013396-5 gnd Trajektorie Kinematik (DE-588)4208631-0 gnd Geodätischer Fluss (DE-588)4156670-1 gnd |
| topic_facet | Fuchs-Gruppe Dynamisches System Trajektorie Kinematik Geodätischer Fluss |
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