Nonpositive curvature: geometric and analytic aspects
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1997
|
| Schriftenreihe: | Lectures in mathematics : ETH Zürich
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 99 - 104 |
| Beschreibung: | VIII, 108 S. graph. Darst. |
| ISBN: | 3764357363 0817657363 |
Internformat
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| 245 | 1 | 0 | |a Nonpositive curvature |b geometric and analytic aspects |c Jürgen Jost |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a VIII, 108 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804125806593572865 |
|---|---|
| adam_text | Contents
Preface vii
1 Introduction
1.1 Examples of Riemannian manifolds of negative or
nonpositive sectional curvature 1
Appendix to § 1.1: Symmetric spaces of noncompact type 11
1.2 Mordell and Shafarevitch type problems 19
1.3 Geometric superrigidity 23
2 Spaces of nonpositive curvature
2.1 Local properties of Riemannian manifolds of
nonpositive sectional curvature 33
2.2 Nonpositive curvature in the sense of Busemann 42
2.3 Nonpositive curvature in the sense of Alexandrov 54
3 Convex functions and centers of mass
3.1 Minimizers of convex functions 61
3.2 Centers of mass 64
3.3 Convex hulls 67
4 Generalized harmonic maps
4.1 The definition of generalized harmonic maps 69
4.2 Minimizers of generalized energy functionals 76
5 Bochner Matsushima type identities for harmonic maps
and rigidity theorems
5.1 The Bochner formula for harmonic one forms
and harmonic maps 85
5.2 A Matsushima type formula for harmonic maps 90
5.3 Geometric superrigidity 95
Bibliography 99
Index 105
v
|
| any_adam_object | 1 |
| author | Jost, Jürgen 1956- |
| author_GND | (DE-588)115774564 |
| author_facet | Jost, Jürgen 1956- |
| author_role | aut |
| author_sort | Jost, Jürgen 1956- |
| author_variant | j j jj |
| building | Verbundindex |
| bvnumber | BV011299487 |
| classification_rvk | SK 350 SK 370 SK 660 |
| ctrlnum | (OCoLC)247375925 (DE-599)BVBBV011299487 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011299487 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:07:25Z |
| institution | BVB |
| isbn | 3764357363 0817657363 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007590224 |
| oclc_num | 247375925 |
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| physical | VIII, 108 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Lectures in mathematics : ETH Zürich |
| spelling | Jost, Jürgen 1956- Verfasser (DE-588)115774564 aut Nonpositive curvature geometric and analytic aspects Jürgen Jost Basel [u.a.] Birkhäuser 1997 VIII, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics : ETH Zürich Literaturverz. S. 99 - 104 Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf 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 Riemannscher Raum (DE-588)4128295-4 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jost, Jürgen 1956- Nonpositive curvature geometric and analytic aspects Riemannscher Raum (DE-588)4128295-4 gnd Metrischer Raum (DE-588)4169745-5 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4169745-5 (DE-588)4128763-0 |
| title | Nonpositive curvature geometric and analytic aspects |
| title_auth | Nonpositive curvature geometric and analytic aspects |
| title_exact_search | Nonpositive curvature geometric and analytic aspects |
| title_full | Nonpositive curvature geometric and analytic aspects Jürgen Jost |
| title_fullStr | Nonpositive curvature geometric and analytic aspects Jürgen Jost |
| title_full_unstemmed | Nonpositive curvature geometric and analytic aspects Jürgen Jost |
| title_short | Nonpositive curvature |
| title_sort | nonpositive curvature geometric and analytic aspects |
| title_sub | geometric and analytic aspects |
| topic | Riemannscher Raum (DE-588)4128295-4 gnd Metrischer Raum (DE-588)4169745-5 gnd Nichtpositive Krümmung (DE-588)4128763-0 gnd |
| topic_facet | Riemannscher Raum Metrischer Raum Nichtpositive Krümmung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jostjurgen nonpositivecurvaturegeometricandanalyticaspects |