Lectures on spaces of nonpositive curvature: with an appendix by Misha Brin: Ergodicity of geodesic flows
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
1995
|
| Series: | Deutsche Mathematiker-Vereinigung: DMV-Seminar
25 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 112 S. |
| ISBN: | 3764352426 0817652426 |
Staff View
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| 100 | 1 | |a Ballmann, Werner |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on spaces of nonpositive curvature |b with an appendix by Misha Brin: Ergodicity of geodesic flows |c Werner Ballmann |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1995 | |
| 300 | |a V, 112 S. | ||
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Record in the Search Index
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| adam_text | Contents
Introduction 1
Chapter I. On the interior geometry of metric spaces
1. Preliminaries 11
2. The Hopf Riaow Theorem 13
3. Spaces with curvature bounded from above 15
4. The Hadamard Cartan Theorem 19
5. Hadamard spaces 22
Chapter II. The boundary at infinity
1. Closure of X via Busemami functions 27
2. Closure of X via rays 28
3. Classification of isometrics 31
4. The cone at infinity and the Tits metric 32
Chapter III. Weak hyperbolicity
1. The duality condition 13
2. Geodesic flows on Hadamard spaces 17
3. The flat half plane condition 50
4. Harmonic functions and random walks on I 55
Chapter IV. Rank rigidity
1. Preliminaries on geodesic flows Cl
2. Jacobi fields and curvature 67
3. Busemami functions and horospheres 70
4. Rank, regular vectors and flats 73
5. An invariant set at infinity 76
6. Proof of the rank rigidity 79
Appendix. Ergodicity of geodesic flows By Misha Brin
1. Introductory remarks 81
2. Measure and ergodic theory preliminaries 82
3. Absolutely continuous foliations 85
4. Anosov flows and the Holder continuity of
invariant distributions 90
5. Proof of absolute continuity and ergodicity 93
Bibliography 97
Index 111
V
|
| any_adam_object | 1 |
| author | Ballmann, Werner |
| author_facet | Ballmann, Werner |
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| dewey-full | 514/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.7 |
| dewey-search | 514/.7 |
| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:51:42Z |
| institution | BVB |
| isbn | 3764352426 0817652426 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006919675 |
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| physical | V, 112 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
| series2 | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
| spelling | Ballmann, Werner Verfasser aut Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows Werner Ballmann Basel [u.a.] Birkhäuser 1995 V, 112 S. txt rdacontent n rdamedia nc rdacarrier Deutsche Mathematiker-Vereinigung: DMV-Seminar 25 Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Nichtpositive Krümmung (DE-588)4128763-0 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 s Nichtpositive Krümmung (DE-588)4128763-0 s DE-604 Deutsche Mathematiker-Vereinigung: DMV-Seminar 25 (DE-604)BV000020322 25 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006919675&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ballmann, Werner Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows Deutsche Mathematiker-Vereinigung: DMV-Seminar Metrischer Raum (DE-588)4169745-5 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd |
| subject_GND | (DE-588)4169745-5 (DE-588)4128763-0 |
| title | Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows |
| title_auth | Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows |
| title_exact_search | Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows |
| title_full | Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows Werner Ballmann |
| title_fullStr | Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows Werner Ballmann |
| title_full_unstemmed | Lectures on spaces of nonpositive curvature with an appendix by Misha Brin: Ergodicity of geodesic flows Werner Ballmann |
| title_short | Lectures on spaces of nonpositive curvature |
| title_sort | lectures on spaces of nonpositive curvature with an appendix by misha brin ergodicity of geodesic flows |
| title_sub | with an appendix by Misha Brin: Ergodicity of geodesic flows |
| topic | Metrischer Raum (DE-588)4169745-5 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd |
| topic_facet | Metrischer Raum Nichtpositive Krümmung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006919675&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT ballmannwerner lecturesonspacesofnonpositivecurvaturewithanappendixbymishabrinergodicityofgeodesicflows |