Surfaces of nonpositive curvature:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1979
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
218 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 20, Number 218 (first of 2 numbers) |
| Beschreibung: | X, 90 S. |
| ISBN: | 0821822187 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804117975609901056 |
|---|---|
| adam_text | Table of Contents
Introduction
Chapter 1 PRELIMINARIES
1. Definitions 1
2. Points at infinity 2
3. Horocycles and Busemann functions 4
Chapter 2 JOINING POINTS AT INFINITY
1. A total curvature obstruction 6
2. Sufficient conditions 6
Chapter 3 CLASSIFICATION OF ISOMETRIES AND LIMIT SETS
1. The fixed point set in H(°°) of a parabolic isometry 12
2. The fixed point set in H(°°) of an axial isometry 12
3. Classification of limit sets L(D) for isometry groups D 14
4. Further results on parabolic isometries 14
Chapter 4 PARAMETERIZING THE ENDS OF M
1. Remarks on collared and Riemannian collared ends 16
2. Surfaces with infinite cyclic fundamental group 18
3. The main theorem: every collared end is Riemannian collared 21
4. Classification of Riemannian collared ends into four types 21
5. Describing ends by conjugacy classes in the fundamental group 23
6. Describing ends by arc components of 0(D) = H(°°) L(D) 26
7. Examples 27
8. Attaching generalized surfaces of revolution to arbitrary
complete surfaces 32
Chapter 5 ISOMETRY GROUPS
1. If M is not homeomorphic to a plane, cylinder, Moebius band,
torus or Klein bottle, then M has a discrete isometry group 38
2. If M has finitely generated fundamental group and is not in
the list above, then M has a finite isometry group 38
Chapter 6 APPENDIX I 5l
Proofs of results stated in Chapter 3
Chapter 7 APPENDIX n 69
Proof of results stated in Chapter 4
References 89
|
| any_adam_object | 1 |
| author | Eberlein, Patrick 1944- |
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| dewey-full | 516/.362 510/.8 |
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| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516/.362 510/.8 |
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| discipline | Mathematik |
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| id | DE-604.BV003625153 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:57Z |
| institution | BVB |
| isbn | 0821822187 |
| language | English |
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| physical | X, 90 S. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Eberlein, Patrick 1944- Verfasser (DE-588)174109431 aut Surfaces of nonpositive curvature Patrick Eberlein Providence, RI 1979 X, 90 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 218 Volume 20, Number 218 (first of 2 numbers) Geometria Diferencial larpcal Manifolds gtt Matematica larpcal Riemann-vlakken gtt Geometry, Differential Manifolds (Mathematics) Surfaces Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Nichtpositive Krümmung (DE-588)4128763-0 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Flächentheorie (DE-588)4475211-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Nichtpositive Krümmung (DE-588)4128763-0 s Riemannsche Fläche (DE-588)4049991-1 s DE-604 Fläche (DE-588)4129864-0 s Mannigfaltigkeit (DE-588)4037379-4 s Differentialgeometrie (DE-588)4012248-7 s Flächentheorie (DE-588)4475211-8 s American Mathematical Society: Memoirs of the American Mathematical Society 218 (DE-604)BV008000141 218 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002309244&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eberlein, Patrick 1944- Surfaces of nonpositive curvature American Mathematical Society: Memoirs of the American Mathematical Society Geometria Diferencial larpcal Manifolds gtt Matematica larpcal Riemann-vlakken gtt Geometry, Differential Manifolds (Mathematics) Surfaces Riemannsche Fläche (DE-588)4049991-1 gnd Fläche (DE-588)4129864-0 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Flächentheorie (DE-588)4475211-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
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| title | Surfaces of nonpositive curvature |
| title_auth | Surfaces of nonpositive curvature |
| title_exact_search | Surfaces of nonpositive curvature |
| title_full | Surfaces of nonpositive curvature Patrick Eberlein |
| title_fullStr | Surfaces of nonpositive curvature Patrick Eberlein |
| title_full_unstemmed | Surfaces of nonpositive curvature Patrick Eberlein |
| title_short | Surfaces of nonpositive curvature |
| title_sort | surfaces of nonpositive curvature |
| topic | Geometria Diferencial larpcal Manifolds gtt Matematica larpcal Riemann-vlakken gtt Geometry, Differential Manifolds (Mathematics) Surfaces Riemannsche Fläche (DE-588)4049991-1 gnd Fläche (DE-588)4129864-0 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Flächentheorie (DE-588)4475211-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Geometria Diferencial Manifolds Matematica Riemann-vlakken Geometry, Differential Manifolds (Mathematics) Surfaces Riemannsche Fläche Fläche Nichtpositive Krümmung Mannigfaltigkeit Flächentheorie Differentialgeometrie |
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| work_keys_str_mv | AT eberleinpatrick surfacesofnonpositivecurvature |